Approximate homotopy of homomorphisms from 𝐶(𝑋) into a simple 𝐶*-algebra

DOI10.1090/S0065-9266-09-00611-5zbMath1205.46037arXivmath/0612125OpenAlexW4241155901MaRDI QIDQ3560925

Huaxin Lin

Publication date: 17 May 2010

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612125

zbMATH Keywords

homomorphismK-theoryhomotopyKK-theoryunitarysimple \(C^*\)-algebraBasic Homotopy Lemma

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Classifications of (C^*)-algebras (46L35)

Related Items (14)

Closed unitary and similarity orbits of normal operators in purely infinite \(C^\ast\)-algebras ⋮ Approximated by finite-dimensional homomorphisms into simple $C^*$-algebras with tracial rank one ⋮ The classification of Rokhlin flows on \(\mathrm{C}^*\)-algebras ⋮ Asymptotic unitary equivalence in \(C^\ast\)-algebras ⋮ Classification of homomorphisms into simple \(\mathcal Z\)-stable \(C^*\)-algebras ⋮ Homomorphisms from AH-algebras ⋮ The corona algebra of the stabilized Jiang-Su algebra ⋮ On classification of non-unital amenable simple C*-algebras. II ⋮ Approximate unitary equivalence in simple $C^{*}$-algebras of tracial rank one ⋮ Closed convex hulls of unitary orbits in \({C^{\ast}_{r}(\mathbb{F}_{\infty})}\) ⋮ 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 ⋮ Unital extensions of AF-algebras by purely infinite simple algebras

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