Limits of certain subhomogeneous $C^*$-algebras

DOI10.24033/msmf.385zbMath0922.46055OpenAlexW566636408MaRDI QIDQ4219105

Klaus Thomsen

Publication date: 18 November 1998

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=MSMF_1997_2_71__1_0

zbMATH Keywords

KK-theorymetrizable Choquet simplexfinite direct sumsbuilding blockinductive limitssubhomogeneous \(C^*\)-algebrasnon-stable \(K\)-theoryElliot invariantcountable abelian groupcountable dimension groupaffine extreme-point preserving surjectionunitary commutators

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Inductive and projective limits in functional analysis (46M40) Classifications of (C^*)-algebras (46L35)

Related Items (12)

Recursive subhomogeneous algebras ⋮ The classification of certain ASH C*-algebras of real rank zero ⋮ A classification of simple limits of splitting interval algebras ⋮ On the classification of simple inductive limit \(C^{*}\)-algebras. II: The isomorphism theorem ⋮ A classification of inductive limit C∗$C^{*}$‐algebras with ideal property ⋮ On the range of certain ASH algebras of real rank zero ⋮ Simple nuclear \(C^{*}\)-algebras of tracial topological rank one ⋮ On the decomposition theorems for \(C^*\)-algebras ⋮ The Rokhlin property and the tracial topological rank ⋮ Inductive limits of subhomogeneous \(C^{*}\)-algebras with Hausdorff spectrum ⋮ Hausdorffified algebraic \(K_1\)-groups and invariants for \(C^\ast\)-algebras with the ideal property ⋮ Strongly self-absorbing $C^{*}$-algebras

Cites Work

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