Isometric isomorphisms of Cartan bimodule algebras

DOI10.1016/0022-1236(91)90144-TzbMath0772.46030MaRDI QIDQ1177882

Richard Mercer

Publication date: 26 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Cartan subalgebrabimodule algebra\(*\)-isomorphisms of the generated von Neumann algebrasfinite subequivalence relations of an arbitrary countable measurable equivalence relationisometric isomorphism of Cartan bimodule algebrasisomorphisms of maximal subdiagonal algebras

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) 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 (4)

Bimodules in crossed products of von Neumann algebras ⋮ A Galois Correspondence for Reduced Crossed Products of Simple -algebras by Discrete Groups ⋮ Norming algebras and automatic complete boundedness of isomorphisms of operator algebras ⋮ The Full Group of a Countable Measurable Equivalence Relation

Cites Work

• Isometries of non-self-adjoint operator algebras
• Bimodules over Cartan subalgebras
• Isometries of nest algebras
• Coordinates for triangular operators algebras
• Schur products and matrix completions
• The Full Group of a Countable Measurable Equivalence Relation
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. II

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