A rigidity result for crossed products of actions of Baumslag–Solitar groups

DOI10.1142/S0129167X15501177zbMath1337.46041arXiv1509.08645OpenAlexW2963404989MaRDI QIDQ3467626

Niels Meesschaert

Publication date: 4 February 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08645

zbMATH Keywords

measure rigidityBaumslag-Solitar groupcrossed-product algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General groups of measure-preserving transformations (28D15) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Cites Work

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• Partial classification of the Baumslag-Solitar group von Neumann algebras
• Remarks on HNN extensions in operator algebras
• Bass-Serre rigidity results in von Neumann algebras
• Isomorphism of the Baumslag-Solitar groups
• Tensor \(C^\ast\)-categories arising as bimodule categories of \(II_{1}\) factors
• On rings of operators
• C*-SIMPLE GROUPS: AMALGAMATED FREE PRODUCTS, HNN EXTENSIONS, AND FUNDAMENTAL GROUPS OF 3-MANIFOLDS
• Explicit computations of all finite index bimodules for a family of II$_1$ factors
• Baumslag-Solitar groups, relative profinite completions and measure equivalence rigidity
• Cartan subalgebras of amalgamated free product II$_1$ factors
• Embedding Theorems for Groups

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