Asymptotic orthogonalization of subalgebras in \(\mathrm{II}_1\) factors

DOI10.4171/PRIMS/55-4-5zbMath1447.46048arXiv1707.07317OpenAlexW2981725709MaRDI QIDQ2279514

Sorin Popa

Publication date: 12 December 2019

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

Full work available at URL: https://arxiv.org/abs/1707.07317

zbMATH Keywords

orthogonalizationultraproductsJones index\(\mathrm{II}_1\) factors

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Subfactors and their classification (46L37)

Related Items (6)

A few remarks on Pimsner–Popa bases and regular subfactors of depth 2 ⋮ Orthogonal unitary bases and a subfactor conjecture ⋮ On orthogonal systems, two-sided bases, and regular subfactors ⋮ Covering entropy for types in tracial W^*-algebras ⋮ On ergodic embeddings of factors ⋮ Coarse decomposition of \(\mathrm{II}_1\) factors

Cites Work

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• Constructing MASAs with prescribed properties
• Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. I
• Independence properties in subalgebras of ultraproduct \(\mathrm{II}_1\) factors
• A reduction for algebras of finite type
• Symmetric Random Walks on Groups
• Notes on Cartan subalgebras in type $\mathrm{II}_1$ factors.
• Entropy and index for subfactors

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