Restriction to finite-index subgroups as étale extensions in topology, KK-theory and geometry

DOI10.2140/AGT.2015.15.3025zbMath1342.55006arXiv1408.2524OpenAlexW2205174263MaRDI QIDQ894967

Beren Sanders, Ivo Dell'Ambrogio, Paul Balmer

Publication date: 25 November 2015

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2524

zbMATH Keywords

restrictionseparableétaleequivariant triangulated categories

Mathematics Subject Classification ID

Kasparov theory ((KK)-theory) (19K35) Equivariant homotopy theory in algebraic topology (55P91)

Related Items (13)

Green 2-functors ⋮ Derived induction and restriction theory ⋮ The Galois group of a stable homotopy theory ⋮ Algebraic models of change of groups functors in (co)free rational equivariant spectra ⋮ The spectrum of derived Mackey functors ⋮ Quasi-Galois theory in symmetric monoidal categories ⋮ Noncommutative tensor triangulated categories and coherent frames ⋮ Levelwise modules over separable monads on stable derivators ⋮ Tensor-triangular fields: ruminations ⋮ The spectrum of equivariant Kasparov theory for cyclic groups of prime order ⋮ Separable monoids in \(\mathbf D_{qc}(X)\) ⋮ Separable commutative rings in the stable module category of cyclic groups ⋮ The spectrum of the equivariant stable homotopy category of a finite group

Cites Work

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• Separability and triangulated categories
• The Baum-Connes conjecture via localisation of categories
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Equivariant sheaves and functors
• A note on the equivariant Dold-Thom theorem
• Equivariant Kasparov theory and generalized homomorphisms
• Stacks of group representations.
• Isomorphism conjectures with proper coefficients
• Separable extensions in tensor-triangular geometry and generalized Quillen stratification
• Universal Coefficient Theorems and Assembly Maps in KK-Theory
• Ordinary 𝑅𝑂(𝐺)-graded cohomology
• Equivariant 𝐸-theory for 𝐶*-algebras

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