On inductive limits of matrix algebras over higher dimensional spaces, part II.

DOI10.7146/math.scand.a-12612zbMath0901.46054OpenAlexW4249205750MaRDI QIDQ4384706

Guihua Gong

Publication date: 29 November 1998

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167413

zbMATH Keywords

real rank zeroslow dimension growthfinite CW complexes with uniformly bounded dimensiongraded ordered \(K\)-groupinductive limit of finite direct sums of matrix algebras over 3-dimensional finite CW complexes

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Inductive and projective limits in functional analysis (46M40) Classifications of (C^*)-algebras (46L35)

Related Items (12)

Classification of simple \(C^*\)-algebras: Inductive limits of matrix algebras over one-dimensional spaces ⋮ The Cuntz semigroup, a Riesz type interpolation property, comparison and the ideal property ⋮ The ideal property, the projection property, continuous fields and crossed products ⋮ Unitary groups as a complete invariant ⋮ K-theoretic rigidity and slow dimension growth ⋮ On invariants of \(\mathrm C^{\ast}\)-algebras with the ideal property ⋮ Simple nuclear \(C^{*}\)-algebras of tracial topological rank one ⋮ Approximations of \(C^{*}\)-algebras and the ideal property ⋮ MORPHISMS OF SIMPLE TRACIALLY AF ALGEBRAS ⋮ On the decomposition theorems for \(C^*\)-algebras ⋮ \(A\mathbb T\) structure of \(AH\) algebras with the ideal property and torsion free \(K\)-theory ⋮ \({\mathbb{Z}}\)-actions on AH algebras and \({\mathbb{Z}^2}\)-actions on AF algebras

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