Groupoids Associated with Endomorphisms
From MaRDI portal
Publication:4846095
DOI10.2307/2154972zbMath0826.46058OpenAlexW4237030385MaRDI QIDQ4846095
Publication date: 21 August 1995
Full work available at URL: https://doi.org/10.2307/2154972
\(C^*\)-algebracrossed productlocally compact Hausdorff groupoidcoverings of the circle and of a Heisenberg 3-manifoldgeneralization of the Cuntz algebra
(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Automorphisms of selfadjoint operator algebras (46L40)
Related Items (53)
Zappa-Szép product groupoids and \(C^*\)-blends ⋮ Spectrum of weighted isometries: \(C^*\)-algebras, transfer operators and topological pressure ⋮ The talented monoid of a directed graph with applications to graph algebras ⋮ Cocycles on groupoids arising from -actions ⋮ On the Exel crossed product of topological covering maps ⋮ \(C^\ast\)-algebras generated by mappings. Criterion of irreducibility ⋮ On simplicity of the \(C^\ast \)-algebras associated with \(\lambda \)-graph systems ⋮ Homology andK-theory of dynamical systems I. Torsion-free ample groupoids ⋮ 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 ⋮ Delone dynamical systems and spectral convergence ⋮ A correspondence between surjective local homeomorphisms and a family of separated graphs ⋮ Conjugacy of local homeomorphisms via groupoids and C*-algebras ⋮ Groupoid models for the \(C^*\)-algebra of labelled spaces ⋮ On the \(C^*\)-algebra of a locally injective surjection and its KMS states ⋮ Binary factors of shifts of finite type ⋮ Simplicity of twisted C*-algebras of Deaconu-Renault groupoids ⋮ 𝐶*-algebras associated with branched coverings ⋮ Topological full groups of ample groupoids with applications to graph algebras ⋮ The groupoid \(C^\ast\)-algebra of a rational map ⋮ 𝐶*-algebras, groupoids and covers of shift spaces ⋮ CUNTZ–KRIEGER ALGEBRAS AND ONE-SIDED CONJUGACY OF SHIFTS OF FINITE TYPE AND THEIR GROUPOIDS ⋮ Local groups and their representations ⋮ The Groupoid Approach to Leavitt Path Algebras ⋮ Purely infinite $C^*$-algebras arising from dynamical systems ⋮ Phase transition in \(O_{2}\) ⋮ Simplicity of algebras associated to étale groupoids ⋮ Operator algebras and Mauldin-Williams graphs ⋮ KMS weights on groupoid and graph \(C^\ast\)-algebras ⋮ One class of \(C^*\)-algebras generated by a family of partial isometries and multiplicators ⋮ Generalized Cuntz-Krieger algebras ⋮ KMS states and conformal measures ⋮ Maximal abelian subalgebras of \(C^\ast\)-algebras associated with complex dynamical systems and self-similar maps ⋮ \(C^\ast\)-algebras from groupoids on self-similar groups ⋮ Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems ⋮ Semi-étale groupoids and applications ⋮ Semigroups of local homeomorphisms and interaction groups ⋮ \(C^\ast\)-algebras generated by mappings. Classification of invariant subspaces ⋮ Quantum Heisenberg manifolds as twisted groupoid \(C^\ast\)-algebras ⋮ Irreducible representations of groupoid 𝐶*-algebras ⋮ Groupoid models of \(C^*\)-algebras and the Gelfand functor ⋮ Twists over étale groupoids and twisted vector bundles ⋮ Subshifts, \(\lambda\)-graph bisystems and \(C^\ast\)-algebras ⋮ A groupoid approach toC*-algebras associated withλ-graph systems and continuous orbit equivalence of subshifts ⋮ ORBIT EQUIVALENCE ON SELF-SIMILAR GROUPS AND THEIR C*-ALGEBRAS ⋮ Dynamics, Wavelets, Commutants and Transfer Operators Satisfying Crossed Product Type Commutation Relations ⋮ C*-algebras associated with presentations of subshifts ii. ideal structure and lambda-graph subsystems ⋮ C*-algebras associated with interval maps ⋮ Haar systems, KMS states on von Neumann algebras and \(C^*\)-algebras on dynamically defined groupoids and noncommutative integration ⋮ Exact circle maps and KMS states ⋮ The $C^*$-algebra of the exponential function ⋮ One-sided topological conjugacy of normal subshifts and gauge actions on the associatedC*-algebras ⋮ Topological dynamics of groupoid actions
Cites Work
This page was built for publication: Groupoids Associated with Endomorphisms
