Von Neumann algebras associated with the group \(SL_{2}(\mathbb R)\)

DOI10.1007/S10114-011-9028-8zbMath1236.46051OpenAlexW2405974189MaRDI QIDQ644608

Wen Ming Wu

Publication date: 4 November 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9028-8

zbMATH Keywords

von Neumann algebrascompact operators\(SL _{2}(\mathbb R)\)rational actions

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25)

Cites Work

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• The crossed product von Neumann algebras associated with \(\mathrm{SL}_2(\mathbb R)\)
• A note on the crossed product \({\mathcal R}({\mathcal A},\alpha)\) associated with \(\mathrm{PSL}_2(\mathbb R)\)
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Theory of operator algebras. II
• Irreducible unitary representations of the Lorentz group

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