Order structures, traces and weights on Morita equivalent C*-algebras

DOI10.1007/BF01456936zbMath0506.46050MaRDI QIDQ1836852

Francois Combes, Heinrich H. Zettl

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/163810

zbMATH Keywords

Radon-Nikodym derivativemodular automorphism groupsinductions of hereditary subalgebras, traces and modular automorphism groupsKMS-weightsMorita equivalence relationsMorita equivalent C*-algebrasPedersen ideals

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Categories, functors in functional analysis (46M15) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (6)

KMS states of quasi-free dynamics on Pimsner algebras ⋮ Traces on cores of -algebras associated with self-similar maps ⋮ Heisenberg modules as function spaces ⋮ Smale space $C^*$-algebras have nonzero projections ⋮ Entropy theory for the parametrization of the equilibrium states of Pimsner algebras ⋮ A new approach to recent constructions of \(C^\ast\)-algebras from modular index theory

Cites Work

• Equivalence and traces on \(C^*\)-algebras
• Ideals in Hilbert modules and invariants under strong Morita equivalence of C*-algebras
• C*-algebras associated with irrational rotations
• Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• Induced representations of C\(^*\)-algebras
• Tomita's theory of modular Hilbert algebras and its applications
• The Radon-Nikodym theorem for von Neumann algebras
• The standard form of von Neumann algebras.
• Groupe modulaire d'une espérance conditionnelle dans une algèbre de von Neumann
• Une classification des facteurs de type ${\rm III}$
• Inner Product Modules Over B ∗ -Algebras
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