Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
From MaRDI portal
Publication:1239890
DOI10.2140/pjm.1977.71.349zbMath0362.46043OpenAlexW2044501184MaRDI QIDQ1239890
Lawrence G. Brown, Philip Green, Marc A. Rieffel
Publication date: 1977
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1977.71.349
Related Items (only showing first 100 items - show all)
The generalized Picard groups for finite dimensional $C^*$-Hopf algebra coactions on unital $C^*$-algebras ⋮ Countably generated Hilbert modules, the Kasparov Stabilisation Theorem, and frames in Hilbert modules ⋮ Isomorphisms of function modules, and generalized approximation in modulus ⋮ QUANTUM MARKOV SEMIGROUPS: PRODUCT SYSTEMS AND SUBORDINATION ⋮ Strong morita equivalence for conditional expectations ⋮ Tietze extension theorem for Hilbert 𝐶*-modules ⋮ THE STRONG MORITA EQUIVALENCE FOR INCLUSIONS OF -ALGEBRAS AND CONDITIONAL EXPECTATIONS FOR EQUIVALENCE BIMODULES ⋮ Relative Morita equivalence of Cuntz–Krieger algebras and flow equivalence of topological Markov shifts ⋮ The Picard groups of inclusions of -algebras induced by equivalence bimodules ⋮ Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra ⋮ Anomalous symmetries of classifiable C*-algebras ⋮ Morita isomorphism for Cuntz algebras ⋮ Algebraic structures in group-theoretical fusion categories ⋮ Classification of 𝐸₀–semigroups by product systems ⋮ State splitting, strong shift equivalence and stable isomorphism of Cuntz–Krieger algebras ⋮ The mapping class group of a minimal subshift ⋮ Classification of irreversible and reversible Pimsner operator algebras ⋮ Imprimitivity bimodules of Cuntz–Krieger algebras and strong shift equivalences of matrices ⋮ Tensor products and regularity properties of Cuntz semigroups ⋮ Graded Hilbert C*-modules ⋮ The Shilov boundary of an operator space and the characterization theorems ⋮ Morita equivalence of \(C^*\)-crossed products by inverse semigroup actions and partial actions ⋮ Isomorphism and Morita equivalence of graph algebras ⋮ Destabilization ⋮ A dichotomy for groupoid -algebras ⋮ Partial automorphisms of stable C*-algebras and Hilbert C*-bimodules ⋮ Equivalence bundles over a finite group and strong Morita equivalence for unital inclusions of unital $C^*$-algebras ⋮ On the inverse semigroup of bimodules over a \(C^\ast\)-algebra ⋮ K-theory for the leaf space of foliations by Reeb components ⋮ CONTINUOUS CROSSED PRODUCT OF HILBERT C*-BIMODULES ⋮ K-theory tools for local and asymptotic cyclic cohomology ⋮ A Morita characterisation for algebras and spaces of operators on Hilbert spaces ⋮ AF-embeddability of 2-graph algebras and quasidiagonality of \(k\)-graph algebras ⋮ Nuclear \(C^ *\)-algebras and related questions ⋮ Jones index theory for Hilbert \(C^*\)-bimodules and its equivalence with conjugation theory ⋮ A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras ⋮ CUNTZ–PIMSNER ALGEBRAS FOR SUBPRODUCT SYSTEMS ⋮ An equivariant Brauer group and actions of groups on \(C^*\)-algebras ⋮ The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor ⋮ General uniform Roe algebra rigidity ⋮ Strong Morita equivalence of operator spaces ⋮ A note on trace scaling actions and fundamental groups of C$^*$-algebras ⋮ On the classification of commutator ideals ⋮ Generalized unitaries and the Picard group ⋮ Upper multiplicity and bounded trace ideals in \(C^*\)-algebras ⋮ Stinespring's theorem for unbounded operator valued local completely positive maps and its applications ⋮ Cut-down method in the inductive limit decomposition of non-commutative tori. III: A complete answer in 3-dimension ⋮ Topological conjugacy of topological Markov shifts and Cuntz-Krieger algebras ⋮ A horizontal categorification of Gel'fand duality ⋮ Fundamental group of simple \(C^{*}\)-algebras with unique trace. II ⋮ The structure of imprimitivity algebras ⋮ Morita equivalence of \(C^*\)-correspondences passes to the related operator algebras ⋮ Bi-extremity of embeddings of operator spaces into their injective envelopes ⋮ Angle preserving mappings ⋮ Morita homotopy theory of \(\mathrm{C}^\ast\)-categories ⋮ Equivalence bimodule between spherical noncommutative tori ⋮ Traces on simple AF C*-algebras ⋮ Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph 𝐶*-algebras and Leavitt path algebras ⋮ Maximal subalgebras of C\(^*\)-algebras associated with periodic flows ⋮ Coarse Baum-Connes conjecture and rigidity for Roe algebras ⋮ Higher nonunital Quillen \(K^{\prime}\)-theory, KK-dualities and applications to topological \(\mathbb T\)-dualities ⋮ A note on Morita equivalence of group actions on pro-\(C^*\)-algebras ⋮ Hilbert 𝐶*-modules in which all closed submodules are complemented ⋮ Morita equivalence and Pedersen ideals ⋮ Comonoidal W\(^*\)-Morita equivalence for von Neumann bialgebras ⋮ Von Neumann algebras associated with pairs of lattices in Lie groups ⋮ Noncommutative geometry of foliations ⋮ \(C^\ast\)-algebras from planar algebras. II: The Guionnet-Jones-Shlyakhtenko \(C^\ast\)-algebras ⋮ On the \(K\)-theory of graph \(C^{*}\)-algebras ⋮ Ideals in Hilbert modules and invariants under strong Morita equivalence of C*-algebras ⋮ On rigidity of Roe algebras ⋮ Strong Morita equivalence of higher-dimensional noncommutative tori. II ⋮ On stable maps of operator algebras ⋮ Hilbert C*-Bimodules Over Commutative C*-Algebras and an Isomorphism Condition for Quantum Heisenberg Manifolds ⋮ The weak tracial Rokhlin property for finite group actions on simple $C^*$-algebras ⋮ Universal Coefficient Theorems and Assembly Maps in KK-Theory ⋮ \(C^*\)-algebras of real rank zero ⋮ Complements to various Stone-Weierstrass theorems for \(C^*\)-algebras and a theorem of Shultz ⋮ On the nuclearity of certain Cuntz-Pimsner algebras ⋮ Continuous orbit equivalence, flow equivalence of Markov shifts and circle actions on Cuntz-Krieger algebras ⋮ Fell bundles over groupoids ⋮ Crossed products by twisted partial actions and graded algebras. ⋮ Foliated eight-manifolds for M-theory compactification ⋮ Non-stable \(K\)-theory and extremally rich \(C^\ast\)-algebras ⋮ A noncommutative sigma-model ⋮ 𝐶*-algebras of homoclinic and heteroclinic structure in expansive dynamics ⋮ Simple quotients of group $C^*$-algebras for two step nilpotent groups and connected Lie groups ⋮ Unnamed Item ⋮ The Picard groupoid in deformation quantization ⋮ Free actions of compact abelian groups on \(C^{\ast}\)-algebras. I. ⋮ The \(C^*\)-algebra of a vector bundle and fields of Cuntz algebras ⋮ Unit vectors, Morita equivalence and endomorphisms ⋮ Semi-étale groupoids and applications ⋮ Spectral truncations in noncommutative geometry and operator systems ⋮ Fundamental group of simple \(C^{*}\)-algebras with unique trace ⋮ Banach algebras and rational homotopy theory ⋮ Crossed products of the Cantor set by free minimal actions of \(\mathbb Z^d\) ⋮ Morita equivalence of partial group actions and globalization ⋮ Boutet de Monvel's calculus and groupoids. I. ⋮ Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of \(SL_2(\mathbb{Z})\)
This page was built for publication: Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
