Relative homological algebra for bivariant \(K\)-theory
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Publication:6617859
DOI10.1007/978-3-031-53063-0_4MaRDI QIDQ6617859
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Publication date: 11 October 2024
(K)-theory and operator algebras (including cyclic theory) (46L80) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Equivariant (K)-theory (19L47)
Cites Work
- Tensor triangular geometry and \(KK\)-theory
- Equivariant Kasparov theory of finite groups via Mackey functors
- The Baum-Connes conjecture via localisation of categories
- Homological algebra in bivariant \(K\)-theory and other triangulated categories. II
- The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
- A characterization of KK-theory
- Equivariant KK-theory and the Novikov conjecture
- Ideals in triangulated categories: Phantoms, ghosts and skeleta
- Green functors and \(G\)-sets
- Relative homological algebra and purity in triangulated categories
- The spectrum of equivariant Kasparov theory for cyclic groups of prime order
- Localizing subcategories in the bootstrap category of filtered \(\mathrm{C}^\ast\)-algebras
- Proper classes and Gorensteinness in extriangulated categories
- An equivariant Lefschetz fixed-point formula for correspondences
- C*-Algebras over Topological Spaces: Filtrated K-Theory
- Localizing subcategories in the Bootstrap category of separable C*-algebras
- \(C^*\)-algebras by example
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