Inner Product Modules Arising from Compact Automorphism Groups of Von Neumann Algebras

DOI10.2307/1997417zbMath0339.46048OpenAlexW4241162933MaRDI QIDQ4107505

William L. Paschke

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/1997417

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (12)

Amenable dynamical systems over locally compact groups ⋮ Regularity results for classes of Hilbert \(\mathrm{C}^*\)-modules with respect to special bounded modular functionals ⋮ Cohomology and extensions of von Neumann algebras. II ⋮ Applications of operator space theory to nest algebra bimodules ⋮ Strong Morita equivalence of C*-algebras preserves nuclearity ⋮ Cartan subalgebras of tensor products of free quantum group factors with arbitrary factors ⋮ Compact Abelian group actions on injective factors ⋮ Compact and ``compact operators on standard Hilbert modules over \(W^*\)-algebras ⋮ Compact Abelian Prime Actions on Von Neumann Algebras ⋮ Compact and ``compact operators on standard Hilbert modules over \(C^*\)-algebras ⋮ A characterization of ternary rings of operators ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Duality for crossed products and the structure of von Neumann algebras of type III
• Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
• On groups of automorphisms of operator algebras
• Induced representations of C\(^*\)-algebras
• A generalization of free action
• Derivations of simple \(C^ *\)-algebras. III
• Inner Product Modules Over B ∗ -Algebras

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