Publikationen

arXiv Google Scholar ORCID MathSciNet
[87]

 		 The Liouville property and random walks on topological groups
(joint with Martin Schneider)
preprint [arXiv]
[86]

 		 Aspects of p-adic operator algebras
(joint with Anton Claußnitzer)
in preparation
[85]
 		 Approximation of functions by neural networks
preprint [arXiv]
[84]

 		 On the isometrisability of group actions on p-spaces
(joint with Maria Gerasimova)
preprint [arXiv]
[83]

 		 Inapproximability of actions and Kazhdan's property (T)
(joint with Gabor Kun)
preprint [arXiv]
[82]

 		 Universal solvability of group equations
(joint with Martin Nitsche)
preprint [arXiv]
[81]

 		 Short Laws for Finite Groups of Lie Type
(joint with Henry Bradford)
preprint [arXiv]
[80]

 

Word images in symmetric and unitary groups are dense
(joint with Jakob Schneider)
preprint [arXiv]
[79]

 

Asymptotics of Cheeger constants and unitarisability of groups
(joint with Maria Gerasimova, Dominik Gruber, and Nicolas Monod)
submitted [arXiv]

[78]

Stability, cohomology vanishing, and non-approximable groups
(joint with Marcus De Chiffre, Lev Glebsky and Alex Lubotzky)
submitted [arXiv]

[77]
 

On Projections of Free Semialgebraic Sets
(joint with Tom Drescher and Tim Netzer)
submitted [arXiv]

[76]
 

A note on the normal subgroup lattice of ultraproducts of finite quasisimple groups
(joint with Jakob Schneider)
submitted [arXiv], contains an erratum to [31]
[75]

 		 A note on commutators in algebras of unbounded operators
(joint with Richard Kadison and Zhe Liu)
submitted [pdf | arXiv]
[74]


 		 Benjamini-Schramm convergence and pointwise convergence of the spectral measure
(joint with Miklos Abert and Balint Virag)
pre-print (in preliminary form) [pdf]
[73]


 		 Equivariant characteristic forms in the Cartan model and Borel equivariant cohomology
(joint with Andreas Kübel)
submitted [arXiv]
 
[72]

 

Unitarizability, Maurey-Nikishin factorization, and polish groups of finite type
(joint with Hiroshi Ando, Yasumichi Matsuzawa and Asger Törnquist)
to appear in Crelle's journal [arXiv]
 
[71]

Stability and Invariant Random Subgroups
(joint with Oren Becker and Alex Lubotzky)
Duke Math. J. 168 (2019), no. 12,  2207-2234.
[DOI   arXiv]
[70]


 		 Short Laws for Finite Groups and Residual Finiteness Growth
(joint with Henry Bradford)
Transactions of the AMS  371 (2019), no. 9, 6447-6462.
[DOI   arXiv]
[69]


 		 Bounded Normal Generation and Invariant Automatic Continuity
(joint with Philip Dowerk)
Adv. Math. 346 (2019), 124–169.
[DOI   arXiv]
[68]



 		 Operator algebraic approach to inverse and stability theorems for amenable groups
(joint with Marcus De Chiffre and Narutaka Ozawa)
Mathematika 65 (2019), no. 1, 98–118.
[DOI   arXiv]
[67]

 		 Some geometric properties of metric ultraproducts of finite simple groups
(joint with John Wilson)
Israel J. Math. 227 (2018), no. 1, 113–129.
[DOI   arXiv]
[66]

 		 Equivariant Differential Cohomology
(joint with Andreas Kübel)
Trans. Amer. Math. Soc. 370 (2018), no. 11, 8237–8283.
[DOI   arXiv]
[65]
 		 Finitary approximations of groups and their applications
Proc. of ICM 2018
[arXiv]
[64]



 		 L²-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices
(joint with Henrik Densing Petersen and Roman Sauer)
Journal of Topology, 11(1), March 2018, 257-282
[DOI   arXiv]
[63]


 		 On Følner sets in topological groups
(joint with Friedrich Martin Schneider)

Compositio Mathematica, 154 (7), July 2018 , 1333-1361
[DOI   arXiv]
[62]


 		 An exotic group as limit of finite special linear groups
(joint with Alessandro Carderi)
Ann. Inst. Fourier 68 (2018), 257–273.
[DOI   arXiv]

[61]


 

Some remarks on finitarily approximable groups
(joint with Nikolay Nikolov and Jakob Schneider)
J. de l'École polytechnique - Mathématiques, Vol. 5 (2018), p. 239-258.
[DOI   arXiv]
[60]


 		 Quadratic Modules, C*-Algebras, and Free Convexity
(joint with Vadim Alekseev and Tim Netzer)
Transactions of the AMS (2017)
[DOI   arXiv]
[59]



 

Bounded normal generation for projective unitary groups of certain infinite operator algebras
(joint with Philip Dowerk)
International Mathematics Research Notices, rnx118 (2017)
[DOI   arXiv]

[58]


 

Cantor systems and quasi-isometry of groups
(joint with Kostya Medynets and Roman Sauer)
Bulletin of the LMS, Vol. 49 (2017), no. 4, 709-724.
[DOI   arXiv]   

[57]


 

About the solvability of matrix polynomial equations
(joint with Tim Netzer)
Bulletin of the LMS, Vol. 49 (2017), no. 4,  670-675.
[DOI   arXiv]
[56]



 

Spectrahedral Containment and Operator Systems with Finite-Dimensional Realization
(joint with Tobias Fritz and Tim Netzer)
SIAM J. Appl. Algebra Geom. 1 (2017), no. 1, 556–574. 
[DOI   arXiv]
[55]

 		 About the length of laws for finite groups
Israel Journal of Mathematics, 219 (2017), 469–478.
[DOI   arXiv]

[54]


 

Topological matchings and amenability
(joint with Friedrich Martin Schneider)
Fundamenta Mathematicae, 238 (2017), 167-200.
(DOI   arXiv]
[53]


 

New topological methods to solve equations over groups
(joint with Anton Klyachko)
Algebraic & Geometric Topology 17 (2017), no. 1, 331-353.
 [DOI   arXiv]
[52]



 		 Measured Group Theory, Abstracts from the Oberwolfach workshop held in August 29- September 03, 2016
(organized jointly with Miklos Abert and Damien Gaboriau)
Oberwolfach Reports 13(3) (2016), 2347–2397.
[DOI]		  
[51]



 		 C*-algebras, Abstracts from the Oberwolfach workshop held in August 21- August 27, 2016
(organized jointly with Mikael Rørdam, Stefaan Vaes and Dan Voiculescu)
Oberwolfach Reports 13(3) (2016), 2269–2345.
[DOI]
[50]

 		 The expected degree of minimal spanning forests
Combinatorica 36 (2016), no. 5, 591–600.
[DOI    arXiv]
[49]


 		 Character rigidity for special linear groups
(joint with Jesse Peterson)
J. Reine Angew. Math. 716 (2016), 207–228.
[DOI   arXiv]
[48]


 		 Jost Bürgi’s Method for Calculating the Sines
(joint with Menso Folkerts and Dieter Launert)
Historia Math. 43 (2016), no. 2, 133–147.
[DOI   arXiv]
[47]


 		 Invariant Coupling of Determinantal Measures on Sofic Groups
(joint with Russell Lyons)
Ergodic Theory and Dynamical Systems, 36(2) (2016), 574-607.
[DOI   arXiv]
[46]


 		 Divisibility and Laws in Finite Simple Groups
(joint with Gady Kozma)
Math. Ann. 364(1), (2016), 79-95.
[DOI   arXiv]
[45]


 		 On the Lévy-Khinchin decomposition of generating functionals
(joint with Uwe Franz und Malte Gerhold)
Communications on Stochastic Analysis, Vol. 9, No. 4 (2015), 529-544.
[publication   arXiv]
[44]



 		 A new proof of extreme amenability of the unitary group of the hyperfinite II1 factor
(joint with Philip Dowerk)
Bull. Belg. Math. Soc. Simon Stevin 22 (2015), no. 5, 837–841.
[publication   arXiv]
[43]


 		 Some remarks on the entropy for algebraic actions of amenable groups
(joint with Nhan-Phu Chung)
Trans. Amer. Math. Soc. 367 (2015), no. 12, 8579–8595.
[DOI   arXiv]
[42]



 		 On the length of the shortest non-trivial element in the derived and the lower central series
(joint with Abdelrhman Elkasapy)
J. Group Theory 18 (2015), no. 5, 793–804.
[DOI   arXiv]
[41]

 		 A note on normal generation and generation of groups
Communications in Mathematics 23 (1) (2015) 1-11.
[publication    arXiv]
[40]


 		 Kazhdan’s Property (T) ia semidefinite optimization
(joint with Tim Netzer)
Experimental Mathematics 24 (3) (2015) 371-374.
[DOI   arXiv]
[39]


 		 Palindromic words in simple groups
(joint with Elisabeth Fink)
Internat. J. Algebra Comput. 25 (2015), no. 3, 439–444.
[DOI   arXiv]
[38]

 		 A remark about the spectral radius
Int. Math. Res. Not. IMRN (2015), no. 10, 2856–2864.
[DOI   arXiv]
[37]


 		 Positivstellensätze for quantum multigraphs
(joint with Tim Netzer)
J. Algebra 422 (2015), 504–519.
[DOI   arXiv]
[36]


 		 About Gotô’s method showing surjectivity of word maps
(joint with Abdelrhman Elkasapy)
Indiana Univ. Math. J. 63 No. 5 (2014), 1553–1565.
[cite   arXiv]
[35]


 		 Can you compute the operator norm?
(joint with Tobias Fritz and Tim Netzer)
Proc. Amer. Math. Soc. 142 (2014), no. 12, 4265-4276.
[DOI   arXiv]
[34]


 		 Hyperbolic polynomials and generalized Clifford algebras
(joint with Tim Netzer)
Discrete Comput. Geom. 51 (2014), no. 4, 802–814.
[DOI   arXiv]
[33]


 		 Metric ultraproducts of finite simple groups
(joint with John Wilson)
C. R. Acad. Sci. Paris, Ser. I 352 (2014), no. 6, 463-466.
[DOI   arXiv]
[32]


 		 On the lattice of normal subgroups in ultraproducts of compact simple groups (joint with Abel Stolz)
Proc. London Math. Soc. 108 (2014), no. 1, 73–102.
[DOI   arXiv]
[31]


 		 Entropy, Determinants, and L²-Torsion
(joint with Hanfeng Li)
J. Amer. Math. Soc. 27 (2014), no. 1, 239–292.
[DOI   arXiv]
[30]



 		 Group Theory, Measure, and Asymptotic Invariants, Abstracts from the Oberwolfach workshop held in August 19-23, 2013
(organized jointly with Miklos Abert and Damien Gaboriau)
Oberwolfach Reports 10(3) (2013),  2375-2422.
[DOI]
[29]


 		 Determinantal representations and the Hermite matrix
(joint with Tim Netzer and Daniel Plaumann)
Michigan Math. J. Volume 62, Issue 2 (2013), 407-420.
[DOI   arXiv]
[28]


 		 Real Closed Separation Theorems and Applications to Group Algebras
(joint with Tim Netzer)
Pacific Journal of Mathematics Vol. 263 (2013), no. 2, 435-452.
[DOI   arXiv]
[27]

 		 Convergent sequences in discrete groups
Canad. Math. Bull. 56 (2013), no. 2, 424-433.
[DOI   arXiv]
[26]


 		 Applications of Følner's condition to quantum groups
(joint with David Kyed)
J. Noncommut. Geom. 7 (2013), no. 2, 547–561.
[DOI   arXiv]
[25]


 		 On Ulam stability
(joint with Marc Burger and Narutaka Ozawa)
Israel J. Math. 193 (2013), no. 1, 109–129.
[DOI   arXiv]
[24]


 		 Normal generation and l²-Betti numbers of groups
(joint with Denis Osin)
Math. Ann., Volume 355, Issue 4 (2013), 1331-1347.
[DOI    arXiv]
[23]


 		 Algebraic Geometry of Topological Spaces I
(joint with Guillermo Cortiñas)
Acta Math. 209 (2012), no. 1, 83-131.
[DOI   arXiv]
[22]


 		 Polynomials with and without determinantal representations
(joint with Tim Netzer)
Linear Algebra and its Applications 437 (2012) 1579–1595.
[DOI   arXiv]
[21]



 		 Is an irng singly generated as an ideal?
(joint with Nicolas Monod and Narutaka Ozawa)
International Journal of Algebra and Computation, Volume 22, Issue No. 4., (2012) 1250036.
[DOI   arXiv]
[20]

 		 About the metric approximation of Higman's group
J. Group Theory, Volume 15, Issue 2 (2012), 301-310.
[DOI   arXiv]
[19]

 		 Integer operators in finite von Neumann algebras
J. Topology & Analysis 3 (2011), no. 4, 433–450.
[DOI   arXiv]
[18]



 		 Finite-dimensional Approximations of Discrete Groups, Abstracts from the Oberwolfach workshop held May 15-21, 2011,
(organized jointly with Goulnara Arzhantseva and Alain Valette),
Oberwolfach Reports, 8(2) (2011), 1429-1467.
[DOI]
[17]

 		 A remark about the Connes fusion tensor product
Theory Appl. Categ. 25 (2011), no. 2, 38-50.
[publication   arXiv]
[16]


 		 Group cocycles and the ring of affiliated operators
(joint with Jesse Peterson)
Inventiones math., Volume 185, Issue 3 (2011), 561-592.
[DOI   arXiv]
[15]


 		 Tracial algebras and an embedding theorem
(joint with Tim Netzer)
J. Funct. Anal., Volume 259, Issue 11 (2010), 2939-2960.
[DOI   arXiv]
[14]


 		 A spectral sequence to compute L²-Betti numbers of groups and groupoids (joint with Roman Sauer)
J. London Math. Soc., Volume 81 (2010), no 3, 747-773.
[DOI   arXiv]
[13]

 		 Examples of hyperlinear groups without factorization property
Groups Geom. Dyn. 4, no. 1 (2010), 195-208.
[DOI   arXiv]
[12]


 		 Low degree bounded cohomology and L²-invariants for negatively curved groups
Groups Geom. Dyn. 3, no. 2 (2009), 343-358.
[DOI   arXiv]
[11]


 		 Homology of free quantum groups
(joint with Benoit Collins and Johannes Härtel)
C. R. Math. Acad. Sci. Paris 347, Issues 5-6, March (2009), 271-276.
[DOI   arXiv]
[10]

 		 L²-Betti numbers for subfactors
J. Operator Theory, 61:2, (2009), 295-299.
[Stable URL    arXiv]
[9]

 		 Sofic groups and diophantine approximation
Comm. Pure Appl. Math., Vol. LXI, (2008), 1155-1171.
[DOI   arXiv]
[8]

 		 L²-cohomology for von Neumann algebras
Geom. Funct. Anal., Vol. 18, (2008), 251-270.
[DOI   arXiv]
[7]



 		 Comparison between algebraic and topological K-theory of locally convex algebras
(joint with Guillermo Cortiñas)
Adv. Math. 218, no 1, (2008), 266-307.
[DOI   arXiv]
[6]


 

Duality for topological abelian group stacks and T-duality
(joint with Ulrich Bunke, Thomas Schick and Markus Spitzweck)
K-theory and Non-commutative Geometry, Valladolid 2006, Series of Congress reports, EMS (2008), 227-347.
[DOI   arXiv]
[5]


 		 L²-invariants and Rank Metric
C*-algebras and Elliptic Theory II, Trends in Mathematics, Birkhäuser Verlag (2008), 267–280. 
[DOI   arXiv]
[4]


 		 Bivariant algebraic K-theory
(joint with Guillermo Cortiñas)
J. Reine Angew. Math. 610 (2007), 71-123.
[DOI   arXiv]
[3]



 

On a conjecture of Gottlieb
(joint with Thomas Schick)
Algebr. Geom. Topol. 7 (2007), 779-784.
[DOI   arXiv]
[2]


 		 Algebraic K-theory and locally convex algebras
(joint with Joachim Cuntz)
Math. Ann. 334 (2006), no 2, 339-371.
[DOI   arXiv]
[1]


 		 Connective E-theory and bivariant homology
Thesis, Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, 127 p. (2003),
Preprint of the SFB 478, Heft 289, [pdf]

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Helga Mettke
Letzte Änderung: 16.10.2019