A new proof of Kirchberg's \(\mathcal{O}_2\)-stable classification
From MaRDI portal
Publication:1985543
DOI10.1515/crelle-2018-0010zbMath1461.46059arXiv1706.03690OpenAlexW2803929825MaRDI QIDQ1985543
Publication date: 7 April 2020
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.03690
(K)-theory and operator algebras (including cyclic theory) (46L80) Classifications of (C^*)-algebras (46L35)
Related Items
The nuclear dimension of \(\mathcal{O}_\infty \)-stable \(C^\ast \)-algebras ⋮ Krull dimension for \(\mathrm{C}^{\star}\)-algebras ⋮ The classification of Rokhlin flows on \(\mathrm{C}^*\)-algebras ⋮ Between reduced powers and ultrapowers ⋮ Classification of 𝒪_{∞}-Stable 𝒞*-Algebras ⋮ A characterization of the Razak-Jacelon algebra ⋮ On a categorical framework for classifying \(C^\ast\)-dynamics up to cocycle conjugacy ⋮ Unnamed Item ⋮ The Jiang-Su algebra is strongly self-absorbing revisited ⋮ Traceless AF embeddings and unsuspended \(E\)-theory ⋮ The Cuntz-Toeplitz algebras have nuclear dimension one
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pure infiniteness and ideal structure of \(C^{\ast}\)-algebras associated to Fell bundles
- Decomposition rank of UHF-absorbing \(C^\ast\)-algebras
- Quasidiagonality of nuclear \(\mathrm{C}^\ast\)-algebras
- Infinite non-simple \(C\)*-algebras: absorbing the Cuntz algebra \({\mathcal O}_\infty\)
- Continuous selections. I
- The homotopy groups of the automorphism group of Kirchberg algebras
- The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
- K-theory for certain C*-algebras
- Structure spaces of approximately finite-dimensional C*-algebras. II
- Non-simple purely infinite \(C^{*}\)-algebras: The Hausdorff case.
- On restricted perturbations in inverse images and a description of normalizer algebras in \(C^*\)-algebras
- Classification of certain infinite simple \(C^*\)-algebras
- A universal multicoefficient theorem for the Kasparov groups
- A classification theorem for nuclear purely infinite simple \(C^*\)-algebras
- Purely infinite \(C^*\)-algebras: ideal-preserving zero homotopies
- On the topology of the Kasparov groups and its applications
- K-Theory for operator algebras. Classification of C$^*$-algebras
- On the classification of C*-algebras of real rank zero.
- Strongly self-absorbing $C^{*}$-algebras
- The Cuntz semigroup as an invariant for C*-algebras
- On the $KK$-theory of strongly self-absorbing $C^{*}$-algebras
- Fiberwise KK-equivalence of continuous fields of C*-algebras
- Completely positive maps of order zero
- Non-simple purely infinite C*-algebras
- Embedding of exact C* -algebras in the Cuntz algebra 𝒪2
- Strong pure infiniteness of crossed products
- Déformations de $C\sp*$-algèbres de Hopf
- Une classification des facteurs de type ${\rm III}$
- A Selection Theorem
- Purely infinite -algebras associated to étale groupoids
- An abstract Voiculescu-Brown-Douglas-Fillmore absorption theorem.
This page was built for publication: A new proof of Kirchberg's \(\mathcal{O}_2\)-stable classification