Actions of T-groups on Lebesgue spaces and properties of full factors of type \(II_ 1\)

DOI10.2977/prims/1195177624zbMath0641.22004OpenAlexW1976590114MaRDI QIDQ1100567

Valentin Ya. Golodets

Publication date: 1986

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195177624

zbMATH Keywords

tensor powersfull factorergodic equivalence relationsfinite measureergodic actionsperiodic automorphismsTICC groups

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Classifications of (C^*)-algebras (46L35)

Related Items

On automorphisms of \(L(\mathbb Z^2) \rtimes SL(2, \mathbb Z)\), Fundamental groups for ergodic actions and actions with unit fundamental groups

Cites Work

• Property T and asymptotically invariant sequences
• On isolated points in the dual spaces of locally compact groups
• Index for subfactors
• Connection of the dual space of a group with the structure of its closed subgroups
• A non-commutative extension of abstract integration
• On Groups of Measure Preserving Transformations. I
• Ergodic theory, group representations, and rigidity
• Amenability, Kazhdan's property T, strong ergodicity and invariant means for ergodic group-actions
• A 𝐼𝐼₁ factor with two nonconjugate Cartan subalgebras
• Discrete groups of motions of manifolds of nonpositive curvature
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