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

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

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