Purely infinite $C^*$-algebras arising from dynamical systems

DOI10.24033/bsmf.2304zbMath0896.46044OpenAlexW2464961687MaRDI QIDQ4372118

Claire Anantharaman-Delaroche

Publication date: 6 October 1998

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1997__125_2_199_0

zbMATH Keywords

hyperbolic metric spaces\(K\)-theory groupsreduced \(C^*\)-algebrauniversal coefficient theoremHadamard manifoldspurely infinite \(C^*\)-algebrasdiscrete groups of isometries\(r\)-discrete groupoid

Mathematics Subject Classification ID

Related Items (52)

Purely infinite simple \(C^\ast\)-algebras that are principal groupoid \(C^\ast\)-algebras ⋮ The tight groupoid of an inverse semigroup ⋮ Spectrum of weighted isometries: \(C^*\)-algebras, transfer operators and topological pressure ⋮ The structure of theC^*-algebra of a locally injective surjection ⋮ \(K\)-homological finiteness and hyperbolic groups ⋮ \(K\)-theory of certain purely infinite crossed products ⋮ Groupoids and $C^*$-algebras for categories of paths ⋮ On simplicity of the \(C^\ast \)-algebras associated with \(\lambda \)-graph systems ⋮ \(\mathrm C^*\)-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type ⋮ Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness ⋮ Matui's AH conjecture for graph groupoids ⋮ Lyapunov spectra for KMS states on Cuntz-Krieger algebras ⋮ Ideal structure and pure infiniteness of inverse semigroup crossed products ⋮ A remark on contracting inverse semigroups ⋮ Uniqueness theorems for topological higher-rank graph 𝐶*-algebras ⋮ Classification of 𝒪_{∞}-Stable 𝒞*-Algebras ⋮ On the \(C^*\)-algebra of a locally injective surjection and its KMS states ⋮ Classifiability of crossed products by nonamenable groups ⋮ 𝐶*-algebras associated with branched coverings ⋮ On $C^*$-algebras associated to actions of discrete subgroups of $\operatorname{SL}(2,\mathbb{R})$ on the punctured plane ⋮ The ratio set of the harmonic measure of a random walk on a hyperbolic group ⋮ All classifiable Kirchberg algebras are \(C^\ast\)-algebras of ample groupoids ⋮ The groupoid \(C^\ast\)-algebra of a rational map ⋮ Non-simple purely infinite Steinberg algebras with applications to Kumjian-Pask algebras ⋮ Local groups and their representations ⋮ Amenable minimal Cantor systems of free groups arising from diagonal actions ⋮ The homotopy groups of the automorphism group of Kirchberg algebras ⋮ Phase transition in \(O_{2}\) ⋮ Simplicity of algebras associated to étale groupoids ⋮ A class of \(C^{*}\)-algebras generalizing both graph algebras and homeomorphism \(C^{*}\)-algebras. IV: Pure infiniteness ⋮ Partial actions and subshifts ⋮ KMS weights on groupoid and graph \(C^\ast\)-algebras ⋮ 𝐶*-algebras of homoclinic and heteroclinic structure in expansive dynamics ⋮ KMS states and conformal measures ⋮ Purely infinite -algebras associated to étale groupoids ⋮ \(C^{\ast}\)-algebras associated to graphs of groups ⋮ \(C^\ast\)-algebras from groupoids on self-similar groups ⋮ Semi-étale groupoids and applications ⋮ Self-similar graphs, a unified treatment of Katsura and Nekrashevych \(C^\ast\)-algebras ⋮ A dichotomy for groupoid -algebras ⋮ Untwisting twisted spectral triples ⋮ An algebraic analogue of Exel-Pardo \(C^\ast\)-algebras ⋮ Simplicity of twisted \(C^\ast\)-algebras of higher-rank graphs and crossed products by quasifree actions ⋮ Dissipative conformal measures on locally compact spaces ⋮ Purely infinite labeled graph -algebras ⋮ Dense subalgebras of purely infinite simple groupoidC*-algebras ⋮ Primitive Ideals of Labelled Graph $C^*$-algebras ⋮ The structure of \(C^*\)-algebras associated with hyperbolic dynamical systems ⋮ C*-algebras associated with interval maps ⋮ On simplicity of reduced C*-algebras of groups ⋮ Exact circle maps and KMS states ⋮ The $C^*$-algebra of the exponential function

Cites Work

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