An abstract Voiculescu-Brown-Douglas-Fillmore absorption theorem.
From MaRDI portal
Publication:5943446
DOI10.2140/pjm.2001.198.385zbMath1058.46041OpenAlexW2060795114MaRDI QIDQ5943446
Dan Z. Kučerovský, George A. Elliott
Publication date: 24 September 2001
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.2001.198.385
Related Items (46)
Stable elements and property (S) ⋮ The complete classification of unital graph \(C^{\ast}\)-algebras: geometric and strong ⋮ Remarks on the extension group for purely infinite corona algebras ⋮ A relative bicommutant theorem: the stable case of Pedersen's question ⋮ Real rank zero for purely infinite corona algebras ⋮ Unitary equivalences for essential extensions of $C^*$-algebras ⋮ NONSTABILITY OF THE IDEALS OF THE CORONA ALGEBRA OF A SEPARABLE STABLE PRIME C*-ALGEBRA ⋮ Commutative subalgebras of the corona ⋮ Topological invariance of quantum quaternion spheres ⋮ Unnamed Item ⋮ Remarks on essential codimension ⋮ Amenability and uniqueness ⋮ Simplicity of the projective unitary group of the multiplier algebra of a simple stable nuclear \(C^*\)-algebra ⋮ Double relative commutants in coronas of separable C*-algebras ⋮ Abstract classification theorems for amenable \(C^\ast\)-algebras ⋮ Classification of 𝒪_{∞}-Stable 𝒞*-Algebras ⋮ Corrigendum to: ``Classifying \(C^{\ast}\)-algebras with both finite and infinite subquotients ⋮ \(\mathrm{C}^\ast\)-algebras. Abstracts from the workshop held August 7--13, 2022 ⋮ Equivariant Kirchberg-Phillips type absorption for the Razak-Jacelon algebra ⋮ Classification of extensions of torus algebra. II ⋮ A characterization of the Razak-Jacelon algebra ⋮ Subalgebras of simple AF-algebras ⋮ Purely infinite corona algebras and extensions ⋮ The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension ⋮ A generalization of Voiculescu's theorem for normal operators to semifinite von Neumann algebras ⋮ Pseudometrics on Ext-semigroups ⋮ A new proof of Kirchberg's \(\mathcal{O}_2\)-stable classification ⋮ Extensions of the UHF-algebra of \(2^\infty \)-type by \(C^\ast \)-algebras with continuous scale ⋮ Double commutants of hereditary subalgebras of a corona ⋮ Decomposition rank and absorbing extensions of type I algebras ⋮ Large Fredholm triples ⋮ A topological invariant for continuous fields of Cuntz algebras ⋮ THE UNITAL EXT-GROUPS AND CLASSIFICATION OFC*-ALGEBRAS ⋮ Extensions contained in ideals ⋮ A new proof of the Tikuisis-White-Winter theorem ⋮ Obstructions to lifting abelian subalgebras of corona algebras ⋮ The Corona Factorization Property and refinement monoids ⋮ Classification of extensions of classifiable \(C^{*}\)-algebras ⋮ Classification of Graph C ∗-Algebras with No More than Four Primitive Ideals ⋮ The extension problem for graph \(C^\ast\)-algebras ⋮ The automorphism group of a simple $\mathcal {Z}$-stable $C^{*}$-algebra ⋮ When are Fredholm triples operator homotopic? ⋮ Universal coefficient theorems for the stable Ext-groups ⋮ Unital extensions of AF-algebras by purely infinite simple algebras ⋮ On the topology of the Kasparov groups and its applications ⋮ When central sequence C*-algebras have characters
This page was built for publication: An abstract Voiculescu-Brown-Douglas-Fillmore absorption theorem.