The spectrum of equivariant Kasparov theory for cyclic groups of prime order

DOI10.2140/AKT.2021.6.543zbMath1480.19002arXiv2009.05424OpenAlexW3201446862MaRDI QIDQ1982614

Ivo Dell'Ambrogio, Ralf Meyer

Publication date: 14 September 2021

Published in: Annals of \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.05424

zbMATH Keywords

spectrumtriangulated categoriesequivariant Kasparov theory

Mathematics Subject Classification ID

Kasparov theory ((KK)-theory) (19K35) Equivariant (K)-theory (19L47) Derived categories, triangulated categories (18G80)

Cites Work

• Tensor triangular geometry and \(KK\)-theory
• Equivariant Kasparov theory of finite groups via Mackey functors
• The spectrum of the equivariant stable homotopy category of a finite group
• The Baum-Connes conjecture via localisation of categories
• Restriction to finite-index subgroups as étale extensions in topology, KK-theory and geometry
• Spectra, spectra, spectra -- tensor triangular spectra versus Zariski spectra of endomorphism rings
• Equivariant KK-theory and the Novikov conjecture
• On the classification of group actions on \(C^*\)-algebras up to equivariant \(KK\)-equivalence
• An equivariant Lefschetz fixed-point formula for correspondences
• Triangulated Categories
• Separable extensions in tensor-triangular geometry and generalized Quillen stratification
• Localizing subcategories in the Bootstrap category of separable C*-algebras
• Handbook of Homotopy Theory
• The spectrum of prime ideals in tensor triangulated categories
• Unnamed Item

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