Asymptotically unitary equivalence and asymptotically inner automorphisms

DOI10.1353/ajm.0.0086zbMath1209.46029arXivmath/0703610OpenAlexW2029460339MaRDI QIDQ3655730

Huaxin Lin

Publication date: 12 January 2010

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703610

zbMATH Keywords

\(C^*\)-algebrasAH-algebraasymptotic unitary equivalencetracial rank zeroasymptotic inner automorphism

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items (16)

The classification of Rokhlin flows on \(\mathrm{C}^*\)-algebras ⋮ Asymptotic unitary equivalence in \(C^\ast\)-algebras ⋮ Homomorphisms into simple \(\mathcal{Z}\)-stable \(C^*\)-algebras. II ⋮ Classification of homomorphisms into simple \(\mathcal Z\)-stable \(C^*\)-algebras ⋮ A classification of inductive limit C∗$C^{*}$‐algebras with ideal property ⋮ Homomorphisms from AH-algebras ⋮ Asymptotic unitary equivalence and classification of simple amenable \(C^{\ast}\)-algebras ⋮ On classification of non-unital amenable simple C*-algebras. II ⋮ Approximate unitary equivalence in simple $C^{*}$-algebras of tracial rank one ⋮ Approximate homotopy of homomorphisms from 𝐶(𝑋) into a simple 𝐶*-algebra ⋮ Mean dimension and AH-algebras with diagonal maps ⋮ Homotopy of unitaries in simple \(C^{*}\)-algebras with tracial rank one ⋮ Inductive limits of subhomogeneous \(C^{*}\)-algebras with Hausdorff spectrum ⋮ Kishimoto's conjugacy theorems in simple \(C^\ast\)-algebras of tracial rank one ⋮ The automorphism group of a simple $\mathcal {Z}$-stable $C^{*}$-algebra ⋮ On locally AH algebras

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