Equivariant higher Dixmier-Douady theory for circle actions on UHF-algebras
From MaRDI portal
Publication:2099086
DOI10.1016/j.aim.2022.108745OpenAlexW4306871703MaRDI QIDQ2099086
Publication date: 23 November 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.13364
classificationalgebraic topologyoperator algebrasinfinite loop spacesequivariant Brauer groupequivariant automorphismsselfabsorbing C*-algebra
Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Classifications of (C^*)-algebras (46L35) Equivariant (K)-theory (19L47) Twisted (K)-theory; differential (K)-theory (19L50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras
- Loop groups and twisted \(K\)-theory. III
- Modular invariants and twisted equivariant \(K\)-theory
- The homotopy type of the group of automorphisms of a UHF-algebra
- Equivariant K-theory and freeness of group actions on \(C^ *\)-algebras
- A groupoid approach to C*-algebras
- Approximately central matrix units and the structure of noncommutative tori
- The order of the differentials in the Atiyah-Hirzebruch spectral sequence
- An equivariant Brauer group and actions of groups on \(C^*\)-algebras
- Homotopy limits and colimits
- Strongly self-absorbing \(C^*\)-dynamical systems. II
- Nonstable \(K\)-theory for operator algebras
- Categories and cohomology theories
- Units of ring spectra and their traces in algebraic K-theory
- 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
- Unit spectra of \(K\)-theory from strongly self-absorbing \(C^\ast\)-algebras
- Modular Invariants and Twisted Equivariant K-theory II: Dynkin diagram symmetries
- Strongly self-absorbing $C^{*}$-algebras
- -Stable ASH Algebras
- Fibrations Over a CWh-Base
- Infinite Loop Spaces (AM-90)
- K0 OF VON NEUMANN AND AF C* ALGEBRAS
- Poly-ℤ Group Actions on Kirchberg Algebras I
- Twisted bundles and twisted K-theory
- Inductive Limits of Finite Dimensional C ∗ -Algebras
- \(C^*\)-algebras by example
- A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras. II: The Brauer group
- Equivariant higher twisted K$K$‐theory of SU(n)$SU(n)$ for exponential functor twists
