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Hyperfinite and \(II_ 1 \)actions for nonamenable groups

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Publication:1170372
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DOI10.1016/0022-1236(81)90070-7zbMath0496.22011OpenAlexW1996025974MaRDI QIDQ1170372

Valentin Ya. Golodets, Sergey Bezuglyi

Publication date: 1981

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(81)90070-7

zbMATH Keywords

ergodic actionsnonamenable groupshyperfinite factors


Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Classifications of (C^*)-algebras (46L35)


Related Items

Trajectory theory, Orbit inequivalent actions for groups containing a copy of \(\mathbb{F}_{2}\), Actions of finite rank: weak rational ergodicity and partial rigidity, A converse to Dye’s theorem, An uncountable family of nonorbit equivalent actions of 𝔽_{𝕟}, Entropy, Shannon orbit equivalence, and sparse connectivity, T-property and nonisomorphic full factors of types II and III



Cites Work

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  • Duality for crossed products and the structure of von Neumann algebras of type III
  • Measure space automorphisms, the normalizers of their full groups, and approximate finiteness
  • On rings of operators. III
  • On Groups of Measure Preserving Transformations. I
  • Hyperfiniteness and the Halmos-Rohlin Theorem for Nonsingular Abelian Actions
  • ON THE STRUCTURE OF II1-FACTORS
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