A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras. II: The Brauer group

DOI10.4171/JNCG/218zbMath1346.46062arXiv1403.1234OpenAlexW1756387176MaRDI QIDQ5963566

Ulrich Pennig, Marius Dǎdǎrlat

Publication date: 22 February 2016

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1234

zbMATH Keywords

torsionBrauer group\(^\ast\)-algebrasDixmier-Douady classopposite algebrastrongly self-absorbing

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items (11)

Colocalizations of noncommutative spectra and bootstrap categories ⋮ Classification of 𝒪_{∞}-Stable 𝒞*-Algebras ⋮ Simple nuclear \(C^{\ast}\)-algebras not equivariantly isomorphic to their opposites ⋮ Poly-\(\mathbb{Z}\) group actions on Kirchberg algebras. II ⋮ A topological invariant for continuous fields of Cuntz algebras ⋮ A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras. II: The Brauer group ⋮ A weak homotopy equivalence type result related to Kirchberg algebras ⋮ Unit spectra of \(K\)-theory from strongly self-absorbing \(C^\ast\)-algebras ⋮ Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras ⋮ A topological invariant for continuous fields of Cuntz algebras II ⋮ Algebraic \(K\)-theory, \(K\)-regularity, and \(\mathbb T\)-duality of \(\mathcal O_\infty\)-stable \(C^\ast\)-algebras

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