Green equivalences in equivariant mathematics

DOI10.1007/S00208-021-02145-2OpenAlexW3126232527MaRDI QIDQ2664154

Ivo Dell'Ambrogio, Paul Balmer

Publication date: 20 April 2021

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10646

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Equivariant homotopy theory in algebraic topology (55P91) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (3)

Green 2-functors ⋮ COHOMOLOGICAL MACKEY 2-FUNCTORS ⋮ Clifford's theorem for orbit categories

Cites Work

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• Equivariant Kasparov theory of finite groups via Mackey functors
• On the indecomposable representations of a finite group
• Green correspondence and relative projectivity for pairs of adjoint functors between triangulated categories
• Krull-Schmidt categories and projective covers
• Adjoint functors and an extension of the Green correspondence for group representations
• Relative homological algebra and purity in triangulated categories
• Relative projectivity and the Green correspondence for complexes
• Mackey 2-functors and Mackey 2-motives
• A transfer theorem for modular representations
• Relative module categories for finite groups
• The Green Correspondence for Infinitely Generated Modules
• On the Krull-Schmidt theorem with application to sheaves
• Equivariant 𝐸-theory for 𝐶*-algebras

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