Extended rotation algebras: Adjoining spectral projections to rotation algebras

DOI10.1515/CRELLE.2011.112zbMath1284.46048OpenAlexW2068896594MaRDI QIDQ2883844

George A. Elliott, Zhuang Niu

Publication date: 13 May 2012

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2011.112

zbMATH Keywords

\(C^*\)-algebranoncommutative torusAF algebrarotation algebraclassification of \(C^*\)-algebras

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Classifications of (C^*)-algebras (46L35) Limit algebras, subalgebras of (C^*)-algebras (47L40)

Cites Work

• The structure of the irrational rotation \(C^*\)-algebra
• A characterisation of lattice-ordered Abelian groups
• On the KK-theory and the \(E\)-theory of amalgamated free products of \(C^{\ast}\)-algebras.
• On the \(K\)-theory of some \(C^*\)-algebras of Toeplitz and singular integral operators
• A Continuous Field of Projectionless C^*-Algebras

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