\(kk\)-theory for Banach algebras. II: Equivariance and Green-Julg type theorems

DOI10.1016/j.jfa.2015.03.010zbMath1322.46047arXiv1408.2878OpenAlexW2071264916MaRDI QIDQ2345411

Walther Paravicini

Publication date: 22 May 2015

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

Full work available at URL: https://arxiv.org/abs/1408.2878

zbMATH Keywords

bivariant \(K\)-theoryMorita invarianceGreen-Julg theorem

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Kasparov theory ((KK)-theory) (19K35)

Cites Work

• Equivariant algebraic \(KK\)-theory and adjointness theorems
• Topological and bivariant K-theory
• A new look at KK-theory
• Equivariant KK-theory and the Novikov conjecture
• Bivariant \(K\)-theory for Banach algebras and the Baum-Connes conjecture
• Non-Hausdorff groupoids, proper actions and \(K\)-theory
• Equivariant Kasparov theory and generalized homomorphisms
• The spectral radius in \(\mathcal{C}_0(X)\)-Banach algebras
• A generalised Green-Julg theorem for proper groupoids and Banach algebras
• A Lefschetz fixed-point formula for certain orbifold C*-algebras
• kk-theory for Banach algebras. I: The non-equivariant case
• KK-theoretic duality for proper twisted actions
• Duality in equivariant \(KK\)-theory:
• Noncommutative Poincaré duality for boundary actions of hyperbolic groups
• Induction for Banach Algebras, Groupoids and KK^ban
• Morita equivalences and KK-theory for Banach algebras
• K-THÉORIE BIVARIANTE POUR LES ALGÈBRES DE BANACH, GROUPOÏDES ET CONJECTURE DE BAUM–CONNES. AVEC UN APPENDICE D’HERVÉ OYONO-OYONO
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