Generalized Cuntz-Krieger algebras

DOI10.1090/S0002-9939-96-03484-3zbMath0864.46033MaRDI QIDQ3837573

Valentin Deaconu

Publication date: 10 December 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

locally compact groupoidKrieger algebrasAT-algebraCuntz-Krieger groupoid

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

Related Items

\(C^*\)-algebras generated by mappings ⋮ On simplicity of the \(C^\ast \)-algebras associated with \(\lambda \)-graph systems ⋮ \(C^\ast\)-algebras generated by mappings ⋮ Actions of symbolic dynamical systems on \(C^*\)-algebras. II: Simplicity of \(C^*\)-symbolic crossed products and some examples ⋮ Simple purely infinite \(C^\ast\)-algebras associated with normal subshifts ⋮ A construction of actions on Kirchberg algebras which induce given actions on their K-groups ⋮ 𝐶*-algebras associated with branched coverings ⋮ TOPOLOGICAL QUIVERS ⋮ A class of \(C^{*}\)-algebras generalizing both graph algebras and homeomorphism \(C^{*}\)-algebras. IV: Pure infiniteness ⋮ On groupoids and \(C^*\)-algebras from self-similar actions ⋮ Subshifts, \(\lambda\)-graph bisystems and \(C^\ast\)-algebras ⋮ The uniqueness of Cuntz-Krieger type algebras ⋮ A groupoid approach toC*-algebras associated withλ-graph systems and continuous orbit equivalence of subshifts ⋮ One-sided topological conjugacy of normal subshifts and gauge actions on the associatedC*-algebras

Cites Work

• A groupoid approach to C*-algebras
• A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras
• Symmetries of the CAR algebra
• Preliminary algebras arising from local homeomorphisms.
• The Crossed Product of a C ∗ -Algebra by an Endomorphism
• Homomorphisms between finite direct sums of circle algebras
• Groupoids Associated with Endomorphisms
• C*-Algebras from Smale Spaces
• Inductive Limits of Finite Dimensional C ∗ -Algebras
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