Direct integrals of left Hilbert algebras

DOI10.1007/BF02547968zbMath0288.46054OpenAlexW1974164427MaRDI QIDQ1846607

Christopher Lance

Publication date: 1975

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162719

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Functional calculus for linear operators (47A60) Hilbert algebras (46K15) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items

Rohlin flows on von Neumann algebras, Strongly outer actions of amenable groups on \(\mathcal{Z}\)-stable nuclear \(C^\ast\)-algebras, Equivalence of normal states on von Neumann algebras and the flow of weights, Reduction by symmetries in singular quantum-mechanical problems: General scheme and application to Aharonov-Bohm model, Ergodic decomposition of Dirichlet forms via direct integrals and applications, Type I locally compact quantum groups: integral characters and coamenability, Cartan subalgebras, transverse measures and non-type-I Plancherel formulae, A classification of flows on AFD factors with faithful Connes–Takesaki modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Borel space of von Neumann algebras on a separable Hilbert space
• Tomita's theory of modular Hilbert algebras and its applications
• Groups of inner automorphisms of von Neumann algebras
• Unitary representations of locally compact groups. II
• Crossed products, direct integrals and Connes' classification of type III factors.
• Direct integral theory for weights, and the Plancherel formula
• Remarks on the Reduction Theory of Von Neumann Algebras
• Type II factors in a central decomposition
• Borel Sets of Von Neumann Algebras
• An extension of Plancherel's formula to separable unimodular groups