Model structure on projective systems of \(C^\ast\)-algebras and bivariant homology theories

zbMath1380.46053arXiv1508.04283MaRDI QIDQ526165

Ilan Barnea, Snigdhayan Mahanta, Michael Joachim

Publication date: 10 May 2017

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.04283

zbMATH Keywords

triangulated category\(C^\ast\)-algebraKK-theorymodel category\(\infty\)-categorypro-categorybivariant homology

Mathematics Subject Classification ID

Noncommutative topology (46L85) Stable homotopy theory, spectra (55P42) (K)-theory and operator algebras (including cyclic theory) (46L80) Categories, functors in functional analysis (46M15) Topological (K)-theory (55N15)

Related Items (7)

A projective model structure on pro-simplicial sheaves, and the relative étale homotopy type ⋮ Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra ⋮ Noncommutative CW-spectra as enriched presheaves on matrix algebras ⋮ Unnamed Item ⋮ Symmetric monoidal noncommutative spectra, strongly self-absorbing \(C^*\)-algebras, and bivariant homology ⋮ On the relation between K- and L-theory of \(C^*\)-algebras ⋮ The two out of three property in ind-categories and a convenient model category of spaces

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