The Elliott conjecture for Villadsen algebras of the first type

DOI10.1016/j.jfa.2008.12.015zbMath1184.46061arXivmath/0611059OpenAlexW2138963750MaRDI QIDQ1011428

Wilhelm Winter, Andrew S. Toms

Publication date: 8 April 2009

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

Full work available at URL: https://arxiv.org/abs/math/0611059

zbMATH Keywords

real rank zeroJiang-Su algebraclassification theorynuclear C*-algebrasdimension growth\({\mathcal Z}\)-stabilityAH algebrasElliott's invariantfinite decomposition rankstrict comparison of positive elementsVilladsen algebras of the first type

Mathematics Subject Classification ID

(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, Purely infinite corona algebras of simple C\(^*\)-algebras, Decomposition rank and \(\mathcal{Z}\)-stability, Nuclear dimension of simple stably projectionless \(C^\ast\)-algebras, Nuclear dimension of simple \(\mathrm{C}^*\)-algebras, The linear span of projections in AH algebras and for inclusions of \(C^\ast\)-algebras, Regularity properties in the classification program for separable amenable C*-algebras, Toms-Winter conjecture for \(C^\ast\)-modules, Random amenable C^*-algebras, Higher homotopy groups of Cuntz classes, Asymptotic unitary equivalence and classification of simple amenable \(C^{\ast}\)-algebras, Regularity for stably projectionless, simple \(C^\ast\)-algebras, Nuclear dimension, \(\mathcal Z\)-stability, and algebraic simplicity for stably projectionless \(C^\ast\)-algebras, Nuclear dimension and \(\mathcal{Z}\)-stability of pure \(C^{\ast}\)-algebras, Tensor products and regularity properties of Cuntz semigroups, Quasidiagonality of nuclear \(\mathrm{C}^\ast\)-algebras, The Jiang–Su algebra revisited, The \(\alpha\)-comparison property and finite nuclear dimension of generalized inductive limits for \(C^*\)-algebras, High-dimensional \(\mathcal{Z}\)-stable AH algebras, Operator algebras in India in the past decade, Decomposition rank of approximately subhomogeneous \(C^*\)-algebras

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