Cuntz-Krieger algebras for infinite matrices

From MaRDI portal
Publication:4256397

DOI10.1515/crll.1999.051zbMath0932.47053arXivfunct-an/9712008OpenAlexW2963102022MaRDI QIDQ4256397

Marcelo Laca, Ruy Exel

Publication date: 23 September 1999

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9712008




Related Items

KMS states of quasi-free dynamics on Pimsner algebrasQuantum Cuntz-Krieger algebrasRealizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebrasPartial actions and KMS states on relative graph \(C^\ast\)-algebrasTopological freeness for \(C^{\ast}\)-correspondencesA FUNCTORIAL APPROACH TO THE C*-ALGEBRAS OF A GRAPHArtinian and Noetherian partial skew groupoid ringsFinite simple labeled graph \(C^\ast\)-algebras of Cantor minimal subshiftsA class of \boldmath{$C^*$}-algebras generalizing both graph algebras and homeomorphism \boldmath{$C^*$}-algebras I, fundamental resultsPartial actions and Galois theoryGraded Steinberg algebras and partial actionsNoncommutative geometry of the quantum diskTwisted partial actions of Hopf algebras.Tensor products of type III factor representations of Cuntz-Krieger algebrasActions of symbolic dynamical systems on \(C^*\)-algebras. II: Simplicity of \(C^*\)-symbolic crossed products and some examplesLeavitt path algebras with coefficients in a commutative ring.Semigroupoid \(C^*\)-algebras and ultragraph \(C^*\)-algebrasTWO-SIDED SHIFT SPACES OVER INFINITE ALPHABETSThe interplay between Steinberg algebras and skew ringsSemigroupoid \(C^{*}\)-algebrasRealizing ultragraph Leavitt path algebras as Steinberg algebrasLabelled space \(C^\ast \)-algebras as partial crossed products and a simplicity characterizationPartial generalized crossed products and a seven term exact sequenceGroupoid models for the \(C^*\)-algebra of labelled spacesQuantum edge correspondences and quantum Cuntz–Krieger algebrasBratteli–Vershik models for partial actions of ℤConvex subshifts, separated Bratteli diagrams, and ideal structure of tame separated graph algebrasA Cuntz-Krieger uniqueness theorem for semigraph \(C^\ast\)-algebrasSimple labeled graph \(C^{\ast}\)-algebras are associated to disagreeable labeled spacesThe partial Schur multiplier of a group.-algebras of labelled graphs III—-theory computationsDynamical systems associated to separated graphs, graph algebras, and paradoxical decompositionsOn finite degree partial representations of groups.Partial generalized crossed products and a seven-term exact sequenceAF labeled graph \(C^\ast\)-algebrasAF-embedding of crossed products of certain graph \(C^\ast\)-algebras by quasi-free actions. IIPartial projective representations and partial actions. II.Crossed products for interactions and graph algebrasThe structure of gauge-invariant ideals of labelled graph \(C^{\ast}\)-algebrasPartial representations and partial group algebrasNoncommutative topological dynamicsHecke algebras for protonormal subgroups.\(C^\ast\)-algebras associated to Boolean dynamical systemsCrossed products by twisted partial actions and graded algebras.Associativity of crossed products by partial actions, enveloping actions and partial representations\(K\)-theory and \(K\)-homology of \(C^*\)-algebras for row-finite graphsPartial actions and subshiftsCohomology of partial smash productsRecent developments around partial actionsReconstructing a totally disconnected groupoid from its ample semigroupRing C\(^*\)-algebrasCovariance algebra of a partial dynamical systemActions of Inverse Semigroups on AlgebrasSelf-similar graphs, a unified treatment of Katsura and Nekrashevych \(C^\ast\)-algebrasThe Leavitt Path Algebras of UltragraphsCuntz-Krieger algebras of infinite graphs and matricesDecomposable partial actionsPerron-Frobenius operators and representations of the Cuntz-Krieger algebras for infinite matricesClassification and realizations of type III factor representations of Cuntz--Krieger algebras associated with quasi-free statesSemiprojectivity for certain purely infinite 𝐶*-algebrasPrimitive ideals and pure infiniteness of ultragraph $C^*$-algebrasNon-Hausdorff étale groupoidsOn partial actions and groupoidsSubshifts, \(\lambda\)-graph bisystems and \(C^\ast\)-algebrasInfinite sum relations on universal \(\mathrm{C}^{\ast}\)-algebrasSimplicity of skew inverse semigroup rings with applications to Steinberg algebras and topological dynamicsTHEC*-ALGEBRAS OF LATTICE ATOMIC GRAPHSC∗-Bialgebra Defined as the Direct Sum of Cuntz–Krieger AlgebrasPartial projective representations and partial actions.The \(C^*\)-algebras of arbitrary graphsGlobalizations of partial actions on nonunital ringsThe dynamics of partial inverse semigroup actionsA Conditional Expectation on the Tensor Product of Exel-Laca algebrasEnveloping actions and Takai duality for partial actions.