Cech cohomology of foliations and transverse measures

DOI10.3792/pjaa.58.258zbMath0522.57025OpenAlexW2064273513MaRDI QIDQ1056098

Shigeru Yamagami

Publication date: 1982

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.58.258

zbMATH Keywords

holonomy groupoidtransverse measuresC*-algebra theory of foliationsgraph of a foliationLebesgue class holonomy invariant measuresheaf of germs of functions which are constant along leavesvon Neumann algebra associated to a foliation

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Free probability and free operator algebras (46L54) Sheaf cohomology in algebraic topology (55N30) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Foliations in differential topology; geometric theory (57R30)

Cites Work

• Duality for crossed products and the structure of von Neumann algebras of type III
• On A. Connes' noncommutative integration theory
• A groupoid approach to C*-algebras
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