FREDHOLM MODULES OVER GRAPH -ALGEBRAS

DOI10.1017/S0004972715000556zbMath1342.46063arXiv1408.0918MaRDI QIDQ2949813

Tyrone Crisp

Publication date: 2 October 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.0918

zbMATH Keywords

\(K\)-homologygraph \(C^{\ast}\)-algebras

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80)

Related Items (1)

Graded \(K\)-theory and \(K\)-homology of relative Cuntz-Pimsner algebras and graph \(C^\ast \)-algebras

Cites Work

• Fredholm modules for quantum Euclidean spheres
• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• A class of C*-algebras and topological Markov chains
• A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras
• Quantum spheres and projective spaces as graph algebras
• Quantum lens spaces and graph algebras.
• Symmetries of quantum spaces. Subgroups and quotient spaces of quantum \(SU(2)\) and \(SO(3)\) groups
• \(K\)-theory and \(K\)-homology of \(C^*\)-algebras for row-finite graphs
• On the \(K\)-theory of Cuntz-Krieger algebras
• Noncommutative balls and mirror quantum spheres
• Cuntz-Krieger algebras of infinite graphs and matrices
• GENERAL CUNTZ–KRIEGER UNIQUENESS THEOREM
• $C^*$-algebras of directed graphs and group actions

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