A topological invariant for continuous fields of Cuntz algebras II

DOI10.1090/proc/15696zbMath1493.19003arXiv2010.00750OpenAlexW3166001119MaRDI QIDQ5027152

Taro Sogabe

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.00750

zbMATH Keywords

classifying spaceautomorphism groupCuntz algebraprincipal bundle\(CW\)-complexlocally trivial \(C(X)\)-algebra

Mathematics Subject Classification ID

Kasparov theory ((KK)-theory) (19K35) Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

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• A topological invariant for continuous fields of Cuntz algebras
• The C*-algebra of a vector bundle
• Strongly self-absorbing $C^{*}$-algebras
• Fiberwise KK-equivalence of continuous fields of C*-algebras
• The group structure of the homotopy set whose target is the automorphism group of the Cuntz algebra
• C^*-bundles and C_0(X)-algebras
• A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras. II: The Brauer group

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