Approximately finite-dimensional $ C^*$-algebras with projective Hilbert modules, their Bratteli diagrams, and $ K_0$-groups

DOI10.1070/SM1997V188N10ABEH000267zbMATH Open0898.46054OpenAlexW2052055480MaRDI QIDQ4376815

A. Ya Helemskiǐ

Publication date: 26 October 1998

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1997v188n10abeh000267

zbMATH Keywords

Hilbert moduleBratteli diagramshomological classification of approximately finite-dimensional \(C^*\)-algebrasordered \(K_0\)-groups

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Projectives and injectives (category-theoretic aspects) (18G05) Classifications of (C^*)-algebras (46L35) Decomposition theory for (C^*)-algebras (46L45)

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