Colocalizations of noncommutative spectra and bootstrap categories
From MaRDI portal
Publication:887299
DOI10.1016/J.AIM.2015.07.029zbMath1334.19002arXiv1412.8370OpenAlexW1486247154MaRDI QIDQ887299
Publication date: 28 October 2015
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.8370
triangulated categories\(C^\ast\)-algebrasnoncommutative spectrastable \(\infty\)-categoriesbivariant K-theory(co)localizationsbootstrap categories
Noncommutative topology (46L85) Stable homotopy theory, spectra (55P42) Higher algebraic (K)-theory (19Dxx) Homology and cohomology theories in algebraic topology (55Nxx)
Related Items (4)
The derived category of complex periodic \(K\)-theory localized at an odd prime ⋮ Symmetric monoidal noncommutative spectra, strongly self-absorbing \(C^*\)-algebras, and bivariant homology ⋮ \(C^\ast\)-algebraic drawings of dendroidal sets ⋮ Algebraic \(K\)-theory, \(K\)-regularity, and \(\mathbb T\)-duality of \(\mathcal O_\infty\)-stable \(C^\ast\)-algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symmetric monoidal noncommutative spectra, strongly self-absorbing \(C^*\)-algebras, and bivariant homology
- Strongly self-absorbing \(C^{\ast}\)-algebras are \(\mathcal{Z}\)-stable
- The Baum-Connes conjecture via localisation of categories
- Topological and bivariant K-theory
- Universality of multiplicative infinite loop space machines
- On the algebraic classification of \(K\)-local spectra
- The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
- The Baum-Connes conjecture
- The Boolean algebra of spectra
- A note on asymptotic homomorphisms
- A note on \(K\)-theory and triangulated categories
- A Brown representability theorem via coherent functors
- Stable model categories are categories of modules
- On the algebraic classification of module spectra
- Morphisms of extensions of \(C^*\)-algebras: Pushing forward the Busby invariant
- Twisted \(K\)-theory, \(K\)-homology, and bivariant Chern-Connes type character of some infinite dimensional spaces
- Uniqueness of the multiplicative cyclotomic trace
- Triangulated Categories
- Localization theory for triangulated categories
- A model category structure on the category of simplicial categories
- Strongly self-absorbing $C^{*}$-algebras
- The Jiang–Su algebra revisited
- Homotopy Theory of C*-Algebras
- On the Homotopy Theory of K-Local Spectra at an Odd Prime
- On a Simple Unital Projectionless C*-Algebra
- The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
- On the Generating Hypothesis in Noncommutative Stable Homotopy
- The n -order of algebraic triangulated categories
- Noncommutative stable homotopy and stable infinity categories
- Higher Topos Theory (AM-170)
- A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras. II: The Brauer group
This page was built for publication: Colocalizations of noncommutative spectra and bootstrap categories