The group structure of the homotopy set whose target is the automorphism group of the Cuntz algebra

DOI10.1142/S0129167X19500575zbMath1432.46054arXiv1903.04809OpenAlexW2968561905WikidataQ127402254 ScholiaQ127402254MaRDI QIDQ5243547

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Publication date: 19 November 2019

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04809

zbMATH Keywords

automorphism group\(K\)-theoryCuntz algebrahomotopy set

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (4)

The homotopy groups of the automorphism groups of Cuntz-Toeplitz algebras ⋮ Poly-\(\mathbb{Z}\) group actions on Kirchberg algebras. II ⋮ A topological invariant for continuous fields of Cuntz algebras ⋮ A topological invariant for continuous fields of Cuntz algebras II

Cites Work

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• A classification theorem for nuclear purely infinite simple \(C^*\)-algebras
• Multiplicative structures in mod q cohomology theories. I
• Multiplicative structures in mod q cohomology theories. II
• The C*-algebra of a vector bundle
• On the $KK$-theory of strongly self-absorbing $C^{*}$-algebras

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