Groups, Dynamics, and Approximation

Project Information

GrDyAp

Grant agreement ID: 681207

DOI 10.3030/681207

Project closed

EC signature date 7 March 2016

Start date 1 October 2016

End date 31 March 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 2 000 000,00

EU contribution € 2 000 000,00

Coordinated by

TECHNISCHE UNIVERSITAET DRESDEN
Germany

Publications

Peer reviewed articles (26)

Strong uncountable cofinality for unitary groups of von Neumann algebras

Author(s): Philip A. Dowerk
Published in: Forum Mathematicum, Issue Band 32, Heft 3, 2022, ISSN 1435-5337
Publisher: Valentin Blomer, Chantal David, Manfred Droste, Frank Duzaar, Siegfried Echterhoff, Jan Frahm, Maria Gordina, Clara Löh, Karin Melnick, Maksym Radziwill, Freydoon Shahidi, Christopher D. Sogge, Shigeharu Takayama Managing Editor: Jan Hendrik Bruinier
DOI: 10.1515/forum-2019-0060

A note on commutators in algebras of unbounded operators

Author(s): Richard V. Kadison, Zhe Liu, Andreas Thom
Published in: Expositiones Mathematicae, Issue 38/2, 2020, Page(s) 232-239, ISSN 0723-0869
Publisher: Elsevier BV
DOI: 10.1016/j.exmath.2020.01.004

The Liouville property and random walks on topological groups

Author(s): Friedrich Martin Schneider, Andreas Thom
Published in: Commentarii Mathematici Helvetici, Issue 95/3, 2020, Page(s) 483-513, ISSN 0010-2571
Publisher: Birkhauser Verlag
DOI: 10.4171/cmh/494

Equivariant differential cohomology

Author(s): Andreas Kübel, Andreas Thom
Published in: Transactions of the American Mathematical Society, Issue 370/11, 2018, Page(s) 8237-8283, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/7315

Boundary and Eisenstein cohomology of G₂(Z)

Author(s): Bajpai, J.; Guan, L.
Published in: Research in the Mathematical Sciences, Issue 9, 2022, ISSN 2522-0144
Publisher: SpringerOpen
DOI: 10.1007/s40687-022-00313-7

STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS

Author(s): MARCUS DE CHIFFRE, LEV GLEBSKY, ALEXANDER LUBOTZKY, ANDREAS THOM
Published in: Forum of Mathematics, Sigma, Issue 8, 2020, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2020.5

A note on the normal subgroup lattice of ultraproducts of finite quasisimple groups

Author(s): Jakob Schneider, Andreas Thom
Published in: Proceedings of the American Mathematical Society, Issue 149/5, 2021, Page(s) 1929-1942, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/15385

Covering dimension of Cuntz semigroups II

Author(s): Hannes Thiel; Eduard Vilalta
Published in: Advances in Mathematics, Issue Volume 394, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2021.108016

Universal solvability of group equations

Author(s): Martin Nitsche und Andreas Thom
Published in: Journal of Group Theory, Issue Band 25 (2022), 2022, Page(s) 1-10, ISSN 1435-4446
Publisher: Walter de Gruyter
DOI: 10.1515/jgth-2019-0167

Quadratic modules, $C^*$-algebras, and free convexity

Author(s): Vadim Alekseev, Tim Netzer, Andreas Thom
Published in: Transactions of the American Mathematical Society, Issue 372/11, 2019, Page(s) 7525-7539, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/7230

Isomorphism questions for metric ultraproducts of finite quasisimple groups

Author(s): Jakob Schneider
Published in: Journal of Group Theory, Issue Band 23, Heft 5, 2020, ISSN 1433-5883
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/jgth-2019-0165

Unitarizability, Maurey–Nikishin factorization, and Polish groups of finite type

Author(s): Hiroshi Ando, Yasumichi Matsuzawa, Andreas Thom, Asger Törnquist
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal), Issue 2020/758, 2020, Page(s) 223-251, ISSN 0075-4102
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2017-0047

Stability and invariant random subgroups

Author(s): Oren Becker, Alexander Lubotzky, Andreas Thom
Published in: Duke Mathematical Journal, Issue 168/12, 2019, ISSN 0012-7094
Publisher: Duke University Press
DOI: 10.1215/00127094-2019-0024

Bounded Normal Generation for Projective Unitary Groups of Certain Infinite Operator Algebras

Author(s): Philip A. Dowerk, Andreas Thom
Published in: International Mathematics Research Notices, 2017, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnx118

Some geometric properties of metric ultraproducts of finite simple groups

Author(s): Andreas Thom, John Wilson
Published in: Israel Journal of Mathematics, Issue 227/1, 2018, Page(s) 113-129, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-018-1721-1

Asymptotics of Cheeger constants and unitarisability of groups

Author(s): Maria Gerasimova, Dominik Gruber, Nicolas Monod, Andreas Thom
Published in: Journal of Functional Analysis, Issue 278/11, 2020, Page(s) 108457, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2019.108457

L2-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices

Author(s): Henrik Densing Petersen, Roman Sauer, Andreas Thom
Published in: Journal of Topology, Issue 11/1, 2018, Page(s) 257-282, ISSN 1753-8416
Publisher: Oxford University Press
DOI: 10.1112/topo.12056

Short laws for finite groups and residual finiteness growth

Author(s): Henry Bradford, Andreas Thom
Published in: Transactions of the American Mathematical Society, Issue 371/9, 2019, Page(s) 6447-6462, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/7518

OPERATOR ALGEBRAIC APPROACH TO INVERSE AND STABILITY THEOREMS FOR AMENABLE GROUPS

Author(s): Marcus De Chiffre, Narutaka Ozawa, Andreas Thom
Published in: Mathematika, Issue 65/1, 2019, Page(s) 98-118, ISSN 0025-5793
Publisher: University College London, Department of Mathematics
DOI: 10.1112/s0025579318000335

Some remarks on finitarily approximable groups

Author(s): Nikolay Nikolov, Jakob Schneider, Andreas Thom
Published in: Journal de l’École polytechnique — Mathématiques, Issue 5, 2018, Page(s) 239-258, ISSN 2270-518X
Publisher: l’École polytechnique
DOI: 10.5802/jep.69

Bounded normal generation and invariant automatic continuity

Author(s): Philip A. Dowerk, Andreas Thom
Published in: Advances in Mathematics, Issue 346, 2019, Page(s) 124-169, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2019.01.047

On Følner sets in topological groups

Author(s): Friedrich Martin Schneider, Andreas Thom
Published in: Compositio Mathematica, Issue 154/7, 2018, Page(s) 1333-1361, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x1800708x

C*-Algebras

Author(s): Mikael Rørdam, Dimitri Shlyakhtenko, Andreas Thom, Stefaan Vaes
Published in: Oberwolfach Reports, Issue 16/3, 2019, Page(s) 2257-2332, ISSN 1660-8933
Publisher: EMS Publishing House
DOI: 10.4171/owr/2019/37

Groups, Dynamics, and Approximation

Author(s): Emmanuel Breuillard, Alex Furman, Nicolas Monod, Andreas Thom
Published in: Oberwolfach Reports, Issue 16/4, 2019, Page(s) 3409-3458, ISSN 1660-8933
Publisher: EMS Publishing House
DOI: 10.4171/owr/2019/55

Spectrahedral Containment and Operator Systems with Finite-Dimensional Realization

Author(s): Fritz, Tobias; Netzer, Tim; Thom, Andreas
Published in: SIAM Journal on Applied Algebra and Geometry, Issue Vol 1, Issue 1 (2017), 2017, ISSN 2470-6566
Publisher: Society for Industrial and Applied Mathematics Publications
DOI: 10.1137/16m1100642

Exponential sums in prime fields for modular forms

Author(s): Bajpai, J.; Bhakta, S.; Garcia, V.
Published in: Research in Number Theory, Issue 1, 2022, ISSN 2363-9555
Publisher: Springer Science+Business Media
DOI: 10.1007/s40993-022-00310-3