On tracial approximation

DOI10.1016/J.JFA.2007.08.005zbMath1137.46035OpenAlexW1986837265MaRDI QIDQ2469826

Zhuang Niu, George A. Elliott

Publication date: 11 February 2008

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.08.005

zbMATH Keywords

tracial approximationElliott invariant

Mathematics Subject Classification ID

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

Related Items (29)

Uniform property for certain -algebras ⋮ Regularity properties of certain crossed product \(C^*\)-algebras ⋮ On dualities of actions and inclusions ⋮ Nonamenable simple -algebras with tracial approximation ⋮ A class of \(C^\ast\)-algebras with non-stable \(K_1\)-group property ⋮ Tracially sequentially split *-homomorphisms between \(C^*\)-algebras ⋮ Some \(C^*\)-algebras properties preserved by tracial approximation ⋮ The range of a class of classifiable separable simple amenable \(C^{*}\)-algebras ⋮ Tracial approximation in simple -algebras ⋮ The tracial class property for crossed products by finite group actions ⋮ Covering Dimension of C*-Algebras and 2-Coloured Classification ⋮ Some \(K_0\)-monoid properties preserved by tracial approximation ⋮ Certain \(K_0\)-monoid properties preserved by tracial approximation ⋮ Certain Cuntz semigroup properties of certain crossed product \(C^*\)-algebras ⋮ Lifting \(KK\)-elements, asymptotic unitary equivalence and classification of simple C\(^*\)-algebras ⋮ The classification of simple separable unital \(\mathcal{Z}\)-stable locally ASH algebras ⋮ Certain classes of \(C^\ast\)-algebras preserved by tracial approximation ⋮ The comparison properties and large subalgebra are inheritance ⋮ Crossed products of C∗-algebras C(X,A) and their applications ⋮ \(C^\ast\)-algebras of minimal dynamical systems of the product of a Cantor set and an odd dimensional sphere ⋮ The tracial Rokhlin property for actions of amenable groups on \(C^*\)-algebras ⋮ Quasidiagonal traces and crossed products ⋮ MINIMAL DYNAMICS AND $\mathcal{Z}$-STABLE CLASSIFICATION ⋮ Crossed products by finite group actions with certain tracial Rokhlin property ⋮ Simple stably projectionless C*-algebras with generalized tracial rank one ⋮ On locally AH algebras ⋮ Certain properties for crossed products by automorphisms with a certain non-simple tracial Rokhlin property ⋮ UHF-slicing and classification of nuclear C*-algebras ⋮ Tracial approximation is stable

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