Multipliers of Imprimitivity Bimodules and Morita Equivalence of Crossed Products.

DOI10.7146/math.scand.a-12543zbMath0843.46049OpenAlexW2531848261MaRDI QIDQ4873889

Iain Raeburn, Siegfried Echterhoff

Publication date: 18 August 1996

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167344

zbMATH Keywords

crossed products\(C^*\)-algebrascoactionsmultiplier algebraimprimitivity bimodulestably isomorphicHilbert \(A\)-modulemultiplier bimoduleMorita equivalent coactionsMorita equivalent crossed products

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (17)

Non-commutative vector bundles for non-unital algebras ⋮ Equivariance and imprimivity for discrete Hopf C*-coactions ⋮ Reconstruction of groupoids and \(C^\ast \)-rigidity of dynamical systems ⋮ Countably generated Hilbert modules, the Kasparov Stabilisation Theorem, and frames in Hilbert modules ⋮ Three bimodules for Mansfield's imprimitivity theorem ⋮ MAXIMAL COACTIONS ⋮ Morita equivalences for completely positive linear maps and GNS-\(C^\ast\)-correspondences ⋮ Strong Morita equivalence for completely positive linear maps on \(C^\ast\)-algebras ⋮ Duality of restriction and induction for 𝐶*-coactions ⋮ Crossed products of Hilbert $C*$-modules ⋮ A Hilbert $C^{*}$-module method for Morita equivalence of twisted crossed products ⋮ EXTERIOR EQUIVALENCE FOR POINTWISE UNITARY COACTIONS ⋮ Induction in stages for crossed products of \(C^{*}\)-algebras by maximal coactions ⋮ Imprimitivity theorems for weakly proper actions of locally compact groups ⋮ Morita equivalence of \(C^*\)-crossed products by inverse semigroup actions and partial actions ⋮ Naturality and induced representations ⋮ Toeplitz matrices acting on the ℓ²-space of an imprimitivity bimodule

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