Comparison theory and smooth minimal \(C^*\)-dynamics

DOI10.1007/s00220-008-0665-4zbMath1173.46043arXiv0805.1688OpenAlexW3105291198MaRDI QIDQ1028571

Andrew S. Toms

Publication date: 6 July 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.1688

zbMATH Keywords

\(K\)-theorysimple \(C^*\)-algebrasCuntz semigroupASH algebrasamenable \(C^*\)-algebrasBlackadar's fundamental comparability property

Mathematics Subject Classification ID

(C^*)-modules (46L08) (K)-theory and operator algebras (including cyclic theory) (46L80) Classifications of (C^*)-algebras (46L35)

Related Items

Regularity of Villadsen algebras and characters on their central sequence algebras ⋮ Comparison radius and mean topological dimension: Rokhlin property, comparison of open sets, and subhomogeneous C*-algebras ⋮ The Dixmier property and tracial states for \(C^\ast\)-algebras ⋮ THE CLASSIFICATION PROBLEM FOR AUTOMORPHISMS OF C*-ALGEBRAS ⋮ Metrics on trace spaces ⋮ K-theoretic rigidity and slow dimension growth ⋮ The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension ⋮ Regularity for stably projectionless, simple \(C^\ast\)-algebras ⋮ The Cuntz comparison in the standard \(\mathrm C^*\)-algebra ⋮ AN INVITATION TO MODEL THEORY AND C*-ALGEBRAS ⋮ The Cuntz semigroup and the radius of comparison of the crossed product by a finite group ⋮ Mean dimension and AH-algebras with diagonal maps ⋮ Classification of inductive limits of 1-dimensional NCCW complexes ⋮ MINIMAL DYNAMICS AND $\mathcal{Z}$-STABLE CLASSIFICATION ⋮ Model theory of 𝐶*-algebras ⋮ THE CUNTZ SEMIGROUP OF CONTINUOUS FUNCTIONS INTO CERTAIN SIMPLE C*-ALGEBRAS ⋮ An algebraic approach to the radius of comparison ⋮ Tracial approximation is stable

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