A topological invariant for continuous fields of Cuntz algebras

DOI10.1007/s00208-020-02101-6zbMath1481.46054arXiv2002.06807OpenAlexW3120031667MaRDI QIDQ2035571

Publication date: 25 June 2021

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.06807

zbMATH Keywords

Cuntz algebra Dixmier-Douady theory C*-algebras locally trivial bundles strongly self-absorbing C*-algebras

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items (2)

Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras ⋮ A topological invariant for continuous fields of Cuntz algebras II

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
A note on nonunital absorbing extensions
A Dixmier-Douady theory for strongly self-absorbing $C^\ast$-algebras
Strongly self-absorbing $C^{\ast}$-algebras are $\mathcal{Z}$-stable
On $C^*$-algebras associated with $C^*$-correspondences
Continuous fields of $C^*$-algebras over finite dimensional spaces
The Baum-Connes conjecture via localisation of categories
Full extensions and approximate unitary equivalence
$\mathbb Z^2$-actions on Kirchberg algebras
The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
Equivariant KK-theory and the Novikov conjecture
K-theory for certain C*-algebras
Matrix algebras over $\mathcal O_n$
The homotopy groups of the automorphism groups of Cuntz-Toeplitz algebras
${\mathcal{C}}_{0}(X)$-algebras, stability and strongly self-absorbing ${\mathcal{C}}^{*}$-algebras
Multipliers of C -algebras
The C*-algebra of a vector bundle
Dixmier-Douady for Dummies
Strongly self-absorbing $C^{*}$-algebras
On the $KK$-theory of strongly self-absorbing $C^{*}$-algebras
Fiberwise KK-equivalence of continuous fields of C*-algebras
THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS
K-Theory and Multipliers of Stable C ∗ -Algebras
The group structure of the homotopy set whose target is the automorphism group of the Cuntz algebra
Champs continus d'espaces hilbertiens et de $C^*$-algèbres
Vector fields on spheres
An abstract Voiculescu-Brown-Douglas-Fillmore absorption theorem.
A Dixmier-Douady theory for strongly self-absorbing $C^\ast$-algebras. II: The Brauer group

This page was built for publication: A topological invariant for continuous fields of Cuntz algebras