Concrete classification and centralizers of certain \(\mathbb Z^2 \rtimes SL (2,\mathbb Z)\)-actions

DOI10.2969/JMSJ/06210135zbMath1201.46061arXiv0704.1533OpenAlexW3121888809MaRDI QIDQ2270224

Hiroki Sako

Publication date: 17 March 2010

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1533

zbMATH Keywords

automorphismsvon Neumann algebras

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

• Cohomology of actions of discrete groups on factors of type \(II_ 1\)
• Some rigidity results for non-commutative Bernoulli shifts
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• On II\(_{1}\) factors arising from 2-cocycles of \(w\)-rigid groups
• Action of discrete amenable groups on von Neumann algebras
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups
• On a class of type \(\text{II}_1\) factors with Betti numbers invariants
• On the cohomology of Bernoulli actions
• Kazhdan constants for SL (3, Z).
• SOME COMPUTATIONS OF 1-COHOMOLOGY GROUPS AND CONSTRUCTION OF NON-ORBIT-EQUIVALENT ACTIONS
• Bounded generation and Kazhdan's property (T)
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