Approximately central matrix units and the structure of noncommutative tori
type: Item
instance of: scholarly article
title: Approximately central matrix units and the structure of noncommutative tori
zbMATH Open document ID: 0813.46064
DOI: 10.1007/BF00961466
author: Alex Kumjian
author: Mikael Rørdam
author: Bruce Blackadar
published in: \(K\)-Theory
publication date: 1993-04-01T00:00:00Z
Mathematics Subject Classification ID: 46L87
Mathematics Subject Classification ID: 46L80
zbMATH DE Number: 149773
zbMATH Keywords: nonrational noncommutative tori
zbMATH Keywords: central sequence
zbMATH Keywords: approximate divisibility for \(C^*\)-algebras
zbMATH Keywords: nonstable \(K\)-theory
zbMATH Keywords: irrational rotation algebra
zbMATH Keywords: stable rank one
zbMATH Keywords: real rank zero
MaRDI profile type: Publication
cites work: Q5611281
cites work: Q4176022
cites work: Shape theory for $C^*$-algebras.
cites work: Q3730469
cites work: Rational \(C^*\)-algebras and nonstable K-theory
cites work: Reduction of real rank in inductive limits of \(C^*\)-algebras
cites work: The real rank of inductive limit $C^*$-algebras.
cites work: Dimension functions and traces on C*-algebras
cites work: Skew products of relations and the structure of simple \(C^ *\)-algebras
cites work: Extending states on preordered semigroups and the existence of quasitraces on \(C^ \ast\)-algebras
cites work: Inductive Limits of Finite Dimensional C ∗ -Algebras
cites work: Density of the self-adjoint elements with finite spectrum in an irrational rotation $C^*$-algebra.
cites work: Almost periodic states and factors of type III\(_1\)
cites work: The structure of multiplication and addition in simple $C^*$-algebras.
cites work: Quelques propriétés des suites centrales dans les facteurs de type II\(_ 1\)
cites work: On a Certain Class of Operator Algebras
cites work: Quasitraces on exact C*-algebras are traces
cites work: One-Parameter Automorphism Groups of the Injective II$_1$ Factor Arising from the Irrational Rotation C^*-Algebra
cites work: Q3205815
cites work: The invertible elements are dense in the irrational rotation C*-algebras.
cites work: Dimension and Stable Rank in the K -Theory of C* -Algebras
cites work: Projective Modules over Higher-Dimensional Non-Commutative Tori
cites work: On the structure of simple \(C^*\)-algebras tensored with a UHF-algebra
cites work: On the structure of simple \(C^*\)-algebras tensored with a UHF-algebra. II
cites work: A Property of Purely Infinite Simple C ∗ -Algebras
full work available at URL: https://doi.org/10.1007/bf00961466
OpenAlex ID: W2115167164
description: scientific article; zbMATH DE number 149773