Equivalence and traces on \(C^*\)-algebras

DOI10.1016/0022-1236(79)90108-3zbMath0427.46042OpenAlexW2012901057MaRDI QIDQ1136315

Gert Kjaergård Pedersen, Joachim Cuntz

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-1236(79)90108-3

zbMATH Keywords

typedecomposition theoremtracespositive elementsanti-liminaryfinite and semi-finite C*-algebrassimple AF algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items

Regularity properties of certain crossed product \(C^*\)-algebras, KMS states of quasi-free dynamics on Pimsner algebras, On the bundle of KMS state spaces for flows on a \(\mathcal{Z}\)-absorbing \(C^*\)-algebra, Locally compact group actions on \(C^ *\)-algebras and compact subgroups, Rational \(C^*\)-algebras and nonstable K-theory, On the decomposition into Discrete, Type II and Type III C*-algebras, The Dixmier property and tracial states for \(C^\ast\)-algebras, Nuclear dimension of simple stably projectionless \(C^\ast\)-algebras, Traces, unitary characters and crossed products by \(\mathbb{Z}\), Traces of \(C^\ast \)-algebras of connected solvable groups, Hereditary \(C^\ast\)-subalgebra lattices, On classification of nonunital amenable simple \(C^\ast\)-algebras. III: The range and the reduction, Invariant ergodic measures and the classification of crossed product \(C^{\ast}\)-algebras, Equivalence and KMS states on periodic C*-dynamical systems, Anomalous symmetries of classifiable C*-algebras, Chaotic tracial dynamics, A simple separable exact \(C^*\)-algebra not anti-isomorphic to itself, Traces on simple AF C*-algebras, A note on commutator-simple algebras, Projections and proper infiniteness for corona algebras, Finite approximation properties of \(C^*\)-modules. III, Traces on ultrapowers of \(\mathrm{C}^{*}\)-algebras, Homomorphisms from AH-algebras, Equilibria when the temperature goes to zero, Commutators in \(C^\ast\)-algebras and traces, Tracial oscillation zero and \(\mathcal{Z}\)-stability, The Cuntz semigroup and domain theory, Finite sums of commutators in \(C^*\)-algebras, Tracial limit of \(C^{\ast}\)-algebras, TRACES ARISING FROM REGULAR INCLUSIONS, The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-algebras, \(\mathcal{Z}\)-stability of crossed products by strongly outer actions, Unnamed Item, Covering Dimension of C*-Algebras and 2-Coloured Classification, Ideal Structure of Multiplier Algebras of Simple C^*-algebras With Real Rank Zero, Lie ideals: from pure algebra to C*-algebras, Commutators and linear spans of projections in certain finite \(C^\ast\)-algebras, 𝐶*-Algebras with the Approximate Positive Factorization Property, On infinite simple \(C^*\)-algebras, Simple nuclear \(C^{*}\)-algebras of tracial topological rank one, Differences and commutators of idempotents in \(C^*\)-algebras, Majorization in C*-algebras, COMMUTATORS IN THE JIANG–SU ALGEBRA, Simultaneous averaging to zero by unitary mixing operators, Residually finite actions and crossed products, Finite sums and products of commutators in inductive limit \(C^ \ast\)- algebras, Convex hulls of unitary orbits of normal elements in \(C^\ast\)-algebras with tracial rank zero, The comparison properties and large subalgebra are inheritance, Maximal tracial algebras, Exponential length and traces, Model theory of 𝐶*-algebras, The possible temperatures for flows on a simple AF algebra, Kishimoto's conjugacy theorems in simple \(C^\ast\)-algebras of tracial rank one, Optimal transport and unitary orbits in \(\mathrm{C}^\ast\)-algebras, Spectrally bounded traces on C*-algebras, Entropy theory for the parametrization of the equilibrium states of Pimsner algebras, Order structures, traces and weights on Morita equivalent C*-algebras, The automorphism group of a simple $\mathcal {Z}$-stable $C^{*}$-algebra, Simple stably projectionless C*-algebras with generalized tracial rank one, On locally AH algebras, Dimension functions and traces on C*-algebras, Déterminant associé à une trace sur une algèbre de Banach, Exact circle maps and KMS states, Distance between unitary orbits of normal elements in simple \(C^\ast\)-algebras of real rank zero, Uniqueness of the trace and simplicity

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