Groupoid dynamical systems and crossed product, I. The case of \(W^*\)- systems

DOI10.2977/prims/1195180873zbMath0584.46055OpenAlexW2022860253MaRDI QIDQ1070497

Tetsuya Masuda

Publication date: 1984

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

Full work available at URL: https://doi.org/10.2977/prims/1195180873

zbMATH Keywords

crossed productsgroupoidsskew productsnon-commutative integrationAnosov foliations\(W^*\)-groupoid dynamical systemsdirect integral theory over singular spacesPoincaré suspensionstandard representations

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative dynamical systems (46L55) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Foliations in differential topology; geometric theory (57R30) Decomposition theory for (C^*)-algebras (46L45)

Related Items (4)

SKEW CATEGORY ALGEBRAS ASSOCIATED WITH PARTIALLY DEFINED DYNAMICAL SYSTEMS ⋮ Inclusions of von Neumann algebras, and quantum groupoïds ⋮ Inclusions of von Neumann algebras and quantum groupoids. II ⋮ Groupoid dynamical systems and crossed product. II. The case of \(C^*\)- systems

Cites Work

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