Localizing subcategories in the Bootstrap category of separable C*-algebras

DOI10.1017/is010008010jkt126zbMath1243.19003arXiv1003.0183OpenAlexW2142092974MaRDI QIDQ3112612

Ivo Dell'Ambrogio

Publication date: 11 January 2012

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0183

zbMATH Keywords

universal coefficient theoremlocalizing subcategoriesbootstrap category\(\mathcal{KK}\)-theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Kasparov theory ((KK)-theory) (19K35) Universal coefficient theorems, Bockstein operator (55U20)

Related Items

Localizing subcategories in the bootstrap category of filtered \(\mathrm{C}^\ast\)-algebras, Gorenstein homological algebra and universal coefficient theorems, The spectrum of a well‐generated tensor‐triangulated category, The spectrum of equivariant Kasparov theory for cyclic groups of prime order, Separable monoids in \(\mathbf D_{qc}(X)\)

Cites Work

• Injective modules over Noetherian rings
• The Baum-Connes conjecture via localisation of categories
• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• Topological methods for C*-algebras. II: Geometric resolutions and the Kuenneth formula
• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• Smashing subcategories and the telescope conjecture -- an algebraic approach
• The spectrum of prime ideals in tensor triangulated categories