𝐶*-algebras associated with branched coverings

DOI10.1090/S0002-9939-00-05697-5zbMath0971.46041arXivmath/0103185OpenAlexW1507349821MaRDI QIDQ2701584

Paul S. Muhly, Valentin Deaconu

Publication date: 19 February 2001

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

Full work available at URL: https://arxiv.org/abs/math/0103185

zbMATH Keywords

dynamical systems\(C^*\)-algebrasbranched coveringsaugmented Cuntz-Pimsner algebra\(A\)-Hilbert bimoduleisomorphic Fell bundles

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) (C^*)-modules (46L08) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Positive definite functions on groups, semigroups, etc. (43A35) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (15)

K-theoretic duality for hyperbolic dynamical systems ⋮ \(C^*\)-algebras associated with complex dynamical systems and backward orbit structure ⋮ The groupoid \(C^\ast\)-algebra of a rational map ⋮ TOPOLOGICAL QUIVERS ⋮ Cuntz-Krieger algebras and endomorphisms of finite direct sums of type I$_{\infty }$ factors ⋮ Noncommutative topological dynamics ⋮ Toeplitz-composition $C^{*}$-algebras for certain finite Blaschke products ⋮ Maximal abelian subalgebras of \(C^\ast\)-algebras associated with complex dynamical systems and self-similar maps ⋮ Hilbert spaces of martingales supporting certain substitution-dynamical systems ⋮ KMS states and branched points ⋮ C*-algebras and self-similar groups ⋮ A CLASS OF C*-ALGEBRAS GENERALIZING BOTH GRAPH ALGEBRAS AND HOMEOMORPHISM C*-ALGEBRAS II, EXAMPLES ⋮ Jones index theory by Hilbert C*-bimodules and K-theory ⋮ C*-algebras associated with interval maps ⋮ The $C^*$-algebra of the exponential function

Cites Work

• A groupoid approach to C*-algebras
• Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence
• A classification of simple limits of splitting interval algebras
• Generalized solenoids and \(C^ *\)-algebras.
• Preliminary algebras arising from local homeomorphisms.
• Index for 𝐶*-subalgebras
• Generalized Cuntz-Krieger algebras
• Morita equivalence for crossed products by Hilbert $C^\ast $-bimodules
• The Brauer group of a locally compact groupoid
• Purely infinite $C^*$-algebras arising from dynamical systems
• Fell bundles over groupoids
• Groupoid Cohomology and the Dixmier-Douady Class
• Groupoids Associated with Endomorphisms
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