ON GENERALIZED UNIVERSAL IRRATIONAL ROTATION ALGEBRAS AND ASSOCIATED STRONGLY IRREDUCIBLE OPERATORS

DOI10.1142/S0129167X13500596zbMath1292.46041MaRDI QIDQ2855479

Huaxin Lin, Junsheng Fang, Feng Xu, Chun Lan Jiang

Publication date: 25 October 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

strongly irreducible operatorsirrational rotation algebra

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35) Linear operators in (C^*)- or von Neumann algebras (47C15)

Cites Work

• Lifting \(KK\)-elements, asymptotic unitary equivalence and classification of simple C\(^*\)-algebras
• On the classification of the ordered groups associated with the approximately finite dimensional C*-algebras
• On a problem of R.V. Kadison on maximal Abelian *-subalgebras in factors
• C*-algebras associated with irrational rotations
• Approximately central matrix units and the structure of noncommutative tori
• On the \(K\)-theory of \(C^*\)-algebras of principal groupoids
• The structure of the irrational rotation \(C^*\)-algebra
• Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence
• Index for subfactors
• Verallgemeinerung eines Satzes von Herrn F. Specker
• Decomposition rank and \(\mathcal{Z}\)-stability
• Entropy and index for subfactors
• DIMENSION GROUPS WITH TORSION
• Strongly Irreducible Operators on Hilbert Space
• On a Simple Unital Projectionless C*-Algebra
• Tracially AF 𝐶*-algebras
• Decomposition Rank of Subhomogeneous C*-Algebras
• Recursive subhomogeneous algebras

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