Examples of hyperlinear groups without factorization property

DOI10.4171/GGD/80zbMath1187.22002arXiv0810.2180OpenAlexW2964337678WikidataQ61677691 ScholiaQ61677691MaRDI QIDQ1049918

Andreas Thom

Publication date: 14 January 2010

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2180

zbMATH Keywords

factorization propertysofic groupKazhdan's property (T)hyperlinear group

Mathematics Subject Classification ID

Geometric group theory (20F65) Ultraproducts in functional analysis (46M07) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05)

Related Items

On exotic group C*-algebras, About the metric approximation of Higman's group, Some remarks on finitarily approximable groups, Flexible Hilbert-Schmidt stability versus hyperlinearity for property (T) groups, On sofic actions and equivalence relations, Cohomological obstructions to lifting properties for full C*-algebras of property (T) groups, Obstructions to matricial stability of discrete groups and almost flat $K$-theory, A sofic group away from amenable groups., Property (T), property (F) and residual finiteness for discrete quantum groups, Examples in the entropy theory of countable group actions, The maximal injective crossed product, STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS, Kirchberg's factorization property for locally compact groups, Kirchberg's factorization property for discrete quantum groups, Simple and large equivalence relations, Maximal subgroups and von Neumann subalgebras with the Haagerup property, On the lifting property for \(C^{\ast}\)-algebras

Cites Work

• Unnamed Item
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• Endomorphisms of symbolic algebraic varieties
• On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
• The space of finitely generated groups
• Hyperlinearity, essentially free actions and \(L^2\)-invariants. The sofic property
• Abstract simplicity of non-affine Kac-Moody groups.
• Finitely presentable, non-Hopfian groups with Kazhdan's Property~(T) and infinite outer automorphism group
• DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS
• On sofic groups