K-THEORY FOR GRADED BANACH ALGEBRAS I

DOI10.1093/qmath/39.2.185zbMath0657.46050OpenAlexW2329596549MaRDI QIDQ3805299

Alfons Van Daele

Publication date: 1988

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/39.2.185

zbMATH Keywords

Kasparov's KK-theoryK-theory for \({\mathbb{Z}}/2\)-graded Banach algebras

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80)

Related Items (15)

Index pairings in presence of symmetries with applications to topological insulators ⋮ \(C^*\)-categories, groupoid actions, equivariant \(KK\)-theory, and the Baum--Connes conjecture ⋮ Locally equivalent quasifree states and index theory ⋮ On the \(C^*\)-algebraic approach to topological phases for insulators ⋮ Cyclic cohomology for graded \(C^{\ast,r}\)-algebras and its pairings with van Daele \(K\)-theory ⋮ Geometric construction of classes in van Daele’s K-theory ⋮ Codimension 2 transfer of higher index invariants ⋮ The Cayley transform in complex, real and graded K-theory ⋮ Operators, Algebras and Their Invariants for Aperiodic Tilings ⋮ Toeplitz Extensions in Noncommutative Topology and Mathematical Physics ⋮ Graded \(K\)-theory and \(K\)-homology of relative Cuntz-Pimsner algebras and graph \(C^\ast \)-algebras ⋮ \(K\)-theory for finite covariant systems ⋮ Kasparov products and dual algebras ⋮ Bulk-boundary correspondence for disordered free-fermion topological phases ⋮ Sheaf theory and Paschke duality

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