Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence

From MaRDI portal
Publication:1328318

DOI10.1006/jfan.1994.1073zbMath0808.46091arXivfunct-an/9211001OpenAlexW2090274380MaRDI QIDQ1328318

Ruy Exel

Publication date: 4 July 1994

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9211001




Related Items (only showing first 100 items - show all)

Crossed Products by Twisted Partial Actions: Separability, Semisimplicity, and Frobenius PropertiesGlobalization of partial group actions on semiprime Lie algebras and unital Jordan algebrasGeometric partial comodules over flat coalgebras in abelian categories are globalizablePartial and global representations of finite groupsPartial actions of a Hopf algebra on its base field and the corresponding partial smash product algebraSymmetry and spectral invariance for topologically graded C∗$C^*$‐algebras and partial action systemsA (partial) weak smash coproductSupramenable groups and partial actionsBratteli–Vershik models for partial actions of ℤLeavitt Path Algebras as Partial Skew Group RingsMorita equivalence of \(C^*\)-crossed products by inverse semigroup actions and partial actionsOn Strongly Associative Group AlgebrasPartial automorphisms of stable C*-algebras and Hilbert C*-bimodulesA CLASS OF C*-ALGEBRAS GENERALIZING BOTH GRAPH ALGEBRAS AND HOMEOMORPHISM C*-ALGEBRAS II, EXAMPLESOn generalized partial twisted smash productsMorita Contexts and Partial Group Galois Extensions for Hopf Group CoalgebrasSimple semigroup graded ringsPartial C*-dynamics and Rokhlin dimensionPartial actions of weak Hopf algebras on coalgebrasA topological correspondence between partial actions of groups and inverse semigroup actionsContinuous fields of \(C^*\)-algebras arising from extensions of tensor \(C^*\)-categoriesCrossed-products by finite index endomorphisms and KMS states.K-theory tools for local and asymptotic cyclic cohomologyFactorization problems on rational loop groups, and the Poisson geometry of Yang-Baxter mapsExtensions of \(C^*\)-dynamical systems to systems with complete transfer operatorsPimsner algebras and Gysin sequences from principal circle actionsEnveloping Actions for Partial Hopf ActionsPartial crossed products as equivalence relation algebras.Globalization for geometric partial comodulesPartial actions of groups on hyperspacesPartial Hopf module categories.CUNTZ–PIMSNER ALGEBRAS FOR SUBPRODUCT SYSTEMSArtinian and Noetherian partial skew groupoid ringsPartial actions on reductive Lie algebrasThe crossed product by a partial endomorphism and the covariance algebraGLOBALIZATION OF TWISTED PARTIAL HOPF ACTIONSOn partial \(H\)-radicals of Jacobson typeGraded Steinberg algebras and partial actionsStrong associativity of a group algebraK-theory of pseudodifferential operators with semi-periodic symbolsBorel globalizations of partial actions of Polish groupsEnveloping actions and duality theorems for partial twisted smash productsConstructing minimal homeomorphisms on point-like spaces and a dynamical presentation of the Jiang-Su algebraPartial corepresentations of Hopf algebrasTwisted partial actions of Hopf algebras.Restriction and extension of partial actionsTopologically free partial actions and faithful representations of crossed productsCohomology for partial actions of Hopf algebrasDual constructions for partial actions of Hopf algebras.On inverse semigroup \(C^*\)-algebras and crossed productsPolish globalization of Polish group partial actionsTwisted partial coactions of Hopf algebrasTwisted partial actions and extensions of semilattices of groups by groupsThe interplay between Steinberg algebras and skew ringsÉtale inverse semigroupoids: elementary properties, universal constructions and dualityGeometrically partial actionsChain conditions for epsilon-strongly graded rings with applications to Leavitt path algebras𝐶*-algebras associated with branched coveringsInduced quotient group gradings of epsilon-strongly graded ringsMean dimensions for partial actionsAperiodicity, topological freeness and pure outerness: from group actions to Fell bundlesPartial actions of weak Hopf algebras: smash product, globalization and Morita theory.Cuntz-Pimsner algebras, crossed products, and \(K\)-theoryPartial Groupoid Actions: Globalization, Morita Theory, and Galois TheoryPartial category actions on sets and topological spacesHecke algebras for protonormal subgroups.Construction of globalizations for partial actions on rings, algebras, \(C^\ast\)-algebras and Hilbert bimodulesPartial (Co)actions of multiplier Hopf algebras: Morita and Galois theories\(C^\ast\)-algebras associated to Boolean dynamical systemsSEPARABLE FUNCTORS FOR THE CATEGORY OF PARTIAL ENTWINED MODULESCrossed product of a \(C^\ast\)-algebra by a semigroup of interactionsCrossed products by twisted partial actions and graded algebras.Associativity of crossed products by partial actions, enveloping actions and partial representationsPARTIAL GROUP ACTIONS ON SEMIALGEBRASRecent developments around partial actionsPartial representations of Hopf algebrasPartial group algebra with projections and relationsPARTIAL ACTIONS OF ORDERED GROUPOIDS ON RINGSPartial cohomology of groups.The \(C^*\)-algebra of a vector bundle and fields of Cuntz algebrasCuntz-Pimsner \(C^*\)-algebras and crossed products by Hilbert \(C^*\)-bimodulesCovariance algebra of a partial dynamical systemNuclear dimension of crossed products associated to partial dynamical systemsMaximality of dual coactions on sectional $C^{*}$-algebras of Fell bundles and applicationsMorita equivalence of partial group actions and globalizationLocal maps and the representation theory of operator algebrasPartial actions of \(C^{*}\)-quantum groupsAn Application of Rafael's Theorem over Partial Entwined ModulesPurely infinite partial crossed productsEPSILON-STRONGLY GROUPOID-GRADED RINGS, THE PICARD INVERSE CATEGORY AND COHOMOLOGYGlobalizations for partial (co)actions on coalgebrasDecomposable partial actions\(K\)-theory and index pairings for \(C^*\)-algebras generated by \(q\)-normal operatorsSectional algebras of semigroupoid bundlesOn partial actions and groupoidsTensor algebras over \(C^*\)-correspondences: Representations, dilations, and \(C^*\)-envelopesSimplicity of skew inverse semigroup rings with applications to Steinberg algebras and topological dynamicsMorita-Rieffel equivalence and spectral theory for integrable automorphism groups of \(C^*\)-algebrasIdeal structure and simplicity of the \(C^*\)-algebras generated by Hilbert bimodulesHopf algebras arising from partial (co)actions




This page was built for publication: Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence