Stability of products of equivalence relations

DOI10.1112/S0010437X18007388zbMath1409.37005arXiv1709.00357OpenAlexW2753131441WikidataQ129002735 ScholiaQ129002735MaRDI QIDQ3121288

Amine Marrakchi

Publication date: 15 March 2019

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00357

zbMATH Keywords

von Neumann algebratensor productdirect productfull groupcentral sequencemaximality argumentstable equivalence relation

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Classification of factors (46L36)

Related Items (6)

On central sequence algebras of tensor product von Neumann algebras ⋮ INNER AMENABLE GROUPOIDS AND CENTRAL SEQUENCES ⋮ II₁ FACTORS WITH EXOTIC CENTRAL SEQUENCE ALGEBRAS ⋮ Factorial relative commutants and the generalized Jung property for \(\mathrm{II}_1\) factors ⋮ A class of \(\mathrm{II}_1\) factors with a unique McDuff decomposition ⋮ Stable decompositions and rigidity for products of countable equivalence relations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new proof of the equivalence of injectivity and hyperfiniteness for factors on a separable Hilbert space
• Connes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)
• The commutant modulo the set of compact operators of a von Neumann algebra
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Homogeneity of the state space of factors of type \(III_1\)
• Fullness and Connes' \(\tau\) invariant of type III tensor product factors
• Spectral gap characterization of full type III factors
• Independence properties in subalgebras of ultraproduct \(\mathrm{II}_1\) factors
• On rings of operators. IV
• On spectral gap rigidity and Connes invariant 𝜒(𝑀)
• A remark on central sequence algebras of the tensor product of 𝐼𝐼₁ factors
• Asymptotically Invariant Sequences and Approximate Finiteness
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
• Strongly ergodic actions have local spectral gap
• Strongly ergodic equivalence relations: spectral gap and type III invariants
• Cartan subalgebras of amalgamated free product II$_1$ factors
• Central Sequences and the Hyperfinite Factor

This page was built for publication: Stability of products of equivalence relations