Bimodules over Cartan subalgebras

DOI10.1216/RMJM/1181073123zbMath0722.46021OpenAlexW1973586259MaRDI QIDQ756084

Richard Mercer

Publication date: 1990

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073123

zbMATH Keywords

von Neumann algebraCartan subalgebrageneralized Fourier seriespartial isometriesA-bimodulesBures A-topologyOrthonormal basestechniques of Feldman and Moore

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (3)

Gradient forms and strong solidity of free quantum groups ⋮ Isometric isomorphisms of Cartan bimodule algebras ⋮ A Galois Correspondence for Reduced Crossed Products of Simple -algebras by Discrete Groups

Cites Work

• Coordinates for triangular operators algebras
• Operator algebras and measure preserving automorphisms
• On the projection of norm one in $W^ *$-algebras
• Triangular Operator Algebras: Fundamentals and Hyperreducible Theory
• Convergence of Fourier Series in Discrete Crossed Products of von Neumann Algebras
• Notes on Cartan subalgebras in type $\mathrm{II}_1$ factors.
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. II
• Abelian subalgebras of von Neumann algebras
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