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Rigid actions need not be strongly ergodic

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Publication:2845754
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DOI10.1090/S0002-9939-2012-11261-4zbMath1276.28032arXiv1006.4502MaRDI QIDQ2845754

Stefaan Vaes, Adrian Ioana

Publication date: 3 September 2013

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

Full work available at URL: https://arxiv.org/abs/1006.4502


zbMATH Keywords

von Neumann algebrarigidityinvariant measureergodic action


Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General groups of measure-preserving transformations (28D15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)


Related Items

Maximal subgroups and von Neumann subalgebras with the Haagerup property



Cites Work

  • Relative property (T) for the subequivalence relations induced by the action of SL\(_2(\mathbb Z)\) on \(\mathbb T^2\)
  • Property T and asymptotically invariant sequences
  • On a class of type \(\text{II}_1\) factors with Betti numbers invariants
  • Asymptotically Invariant Sequences and Approximate Finiteness
  • Sharp ergodic theorems for group actions and strong ergodicity
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