Equivariant Kasparov theory of finite groups via Mackey functors

DOI10.4171/JNCG/172zbMath1315.46078arXiv1105.3028MaRDI QIDQ470343

Ivo Dell'Ambrogio

Publication date: 12 November 2014

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3028

zbMATH Keywords

Künneth formulauniversal coefficient theoremMackey functorsequivariant KK-theoryGreen functors

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Kasparov theory ((KK)-theory) (19K35) Equivariant (K)-theory (19L47)

Related Items (5)

Green 2-functors ⋮ Green equivalences in equivariant mathematics ⋮ Gorenstein homological algebra and universal coefficient theorems ⋮ The Künneth theorem in equivariant \(K\)-theory for actions of a cyclic group of order 2 ⋮ The spectrum of equivariant Kasparov theory for cyclic groups of prime order

Cites Work

• Tensor triangular geometry and \(KK\)-theory
• Ideals in triangulated categories: Phantoms, ghosts and skeleta
• Green functors and \(G\)-sets
• Bivariant K-theory via correspondences
• Relative homological algebra and purity in triangulated categories
• THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS
• On closed categories of functors
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