Outer conjugacy for actions of continuous amenable groups

DOI10.2977/prims/1195176031zbMath0656.46053OpenAlexW2093434259MaRDI QIDQ1110053

Valentin Ya. Golodets, Sergey D. Sinelshchikov

Publication date: 1987

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/1195176031

zbMATH Keywords

von Neumann algebrasapproximately finite type II ergodic full groupcohomological approach to the outer conjugacy problem in ergodic theorycohomological class of cocyclesfull group generated by an ergodic type II automorphism

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Automorphisms of selfadjoint operator algebras (46L40)

Related Items

Coboundaries of commuting Borel automorphisms, Classification of cocycles of generic equivalence relations, On extension of cocycles to normalizer elements, outer conjugacy, and related problems, Fundamental groups of some ergodic equivalence relations of type II\(_{\infty}\), Weak equivalence and the structures of cocycles of an ergodic automorphism, Amenable Actions of Groups, Fundamental groups for ergodic actions and actions with unit fundamental groups, Cohomology of hyperfinite Borel actions, Classification of regular subalgebras of the hyperfinite II\(_1\) factor

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