Abelian \(C^*\)-subalgebras of \(C^*\)-algebras of real rank zero and inductive limit \(C^*\)-algebras
type: Item
instance of: scholarly article
title: Abelian \(C^*\)-subalgebras of \(C^*\)-algebras of real rank zero and inductive limit \(C^*\)-algebras
zbMATH Open document ID: 0869.46030
DOI: 10.1215/S0012-7094-96-08520-8
author: George A. Elliott
author: Guihua Gong
author: Huaxin Lin
author: Cornel Pasnicu
published in: Duke Mathematical Journal
publication date: 1997-05-28T00:00:00Z
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 46L80
zbMATH DE Number: 986998
zbMATH Keywords: monomorphism
zbMATH Keywords: homotopically trivial
zbMATH Keywords: simple \(C^*\)-algebras of real rank zero
zbMATH Keywords: purely infinite simple \(C^*\)-algebras
zbMATH Keywords: Bunce-Deddens algebras
zbMATH Keywords: irrational rotation algebras
MaRDI profile type: Publication
cites work: Q5611281
cites work: Almost commuting matrices and a quantitative version of the Brown- Douglas-Fillmore theorem
cites work: Traces on simple AF C*-algebras
cites work: Q3730469
cites work: Reduction of real rank in inductive limits of \(C^*\)-algebras
cites work: The real rank of inductive limit $C^*$-algebras.
cites work: Approximately central matrix units and the structure of noncommutative tori
cites work: Q5589843
cites work: Inductive Limits of Finite Dimensional C ∗ -Algebras
cites work: Small eigenvalue variation and real rank zero
cites work: Q5287660
cites work: Q4403336
cites work: \(C^*\)-algebras of real rank zero
cites work: Q3324477
cites work: Density of the self-adjoint elements with finite spectrum in an irrational rotation $C^*$-algebra.
cites work: K-theory for certain C*-algebras
cites work: Q4713458
cites work: Almost commuting Hermitian matrices.
cites work: On some \(C^ *\)-algebras considered by Glimm
cites work: Reduction of topological stable rank in inductive limits of \(C^*\)- algebras
cites work: Q3931913
cites work: Dimension Groups and Their Affine Representations
cites work: On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
cites work: On the classification of C*-algebras of real rank zero.
cites work: The structure of the irrational rotation \(C^*\)-algebra
cites work: On Inductive Limits of Matrix Algebras over the Two-Torus
cites work: Extending Cellular Cohomology to C ∗ -Algebras
cites work: The Exponential Rank of Inductive Limit $C^*$-Algebras.
cites work: Notes on a class of simple \(C^*\)-algebras with real rank zero
cites work: Q3717102
cites work: Q5521308
cites work: Ideals of Multiplier Algebras of Simple AF C ∗ -Algebras
cites work: GENERALIZED WEYL-VON NEUMANN THEOREMS
cites work: Q4311501
cites work: 𝐶*-algebra extensions of 𝐶(𝑋)
cites work: Exponential rank of \(C^{\ast}\)-algebras with real rank zero and the Brown-Pedersen conjectures
cites work: Q4835027
cites work: Simple C ∗ -Algebras with Continuous Scales and Simple Corona Algebras
cites work: Approximation by normal elements with finite spectra in \(C^*\)-algebras of real rank zero
cites work: On infinite simple \(C^*\)-algebras
cites work: On covering dimension and inverse limits of compact spaces
cites work: Simple $C^*$-algebras with the property weak (FU).
cites work: Approximation by unitaries with finite spectrum in purely infinite \(C^*\)-algebras
cites work: The invertible elements are dense in the irrational rotation C*-algebras.
cites work: C*-algebras associated with irrational rotations
cites work: The Cancellation Theorem for Projective Modules Over Irrational Rotation C*-Algebras
cites work: Q5624220
cites work: Q3933184
cites work: Q3324492
cites work: Q4192669
cites work: Certain \(C^*\)-algebras with real rank zero and their corona and multiplier algebras. I
cites work: Certain \(C^*\)-algebras with real rank zero and their corona and multiplier algebras. II
cites work: C*-ALGEBRAS WITH REAL RANK ZERO AND THEIR CORONA AND MULTIPLIER ALGEBRAS PART IV
cites work: Q4012787
cites work: On the Structure of Projections and Ideals of Corona Algebras
full work available at URL: s0012-7094-96-08520-8
OpenAlex ID: W1595771038