Add to ORKGABSTRACT. In this paper we study the problem of when the corona algebra of a non-unital C∗-algebra is purely infinite. A complete answer is obtained for stabilisations of simple and unital algebras that have enough comparison of positive elements. Our result relates the pure infiniteness condition (from its strongest to weakest forms) to the geometry of the tracial simplex of the algebra, and to the behaviour of corona projections, despite the fact that there is no real rank zero condition
Let B be a Blaschke product. We prove in several different ways the Corona theorem for the algebra H...
Let B be a Blaschke product. We prove in several different ways the Corona theorem for the algebra H...
Abstract. Let Z be the unital simple nuclear infinite dimensional C∗-algebra which has the same Elli...
ABSTRACT. In this paper we study the problem of when the corona algebra of a non-unital C∗-algebra i...
AbstractWe show that simple C∗-algebras with an infinite element contain nontrivial projections. We ...
The purpose of this short note is to prove that a stable separable C*-algebra with real rank zero ha...
The purpose of this short note is to prove that a stable separable C*-algebra with real rank zero ha...
The purpose of this short note is to prove that a stable separable C*-algebra with real rank zero ha...
Abstract. We provide some examples of simple C*-algebras with nonzero real rank whose associated cor...
AbstractLocal and global definitions of pure infiniteness for a C∗-algebra A are compared, and equiv...
AbstractWe show that, for any irrational rotational algebraAθ,Aθ⊗O2≅O2. This is proved by combining ...
International audienceWe prove rigidity results for large classes of corona algebras, assuming the P...
AbstractWe study the question of whether stability is preserved under the operation of forming a con...
Abstract. We study Rørdam’s group, KL(A,B), and a corona factoriza-tion condition. Our key technical...
Abstract. We study the question of whether stability is preserved under the operation of forming a c...
Let B be a Blaschke product. We prove in several different ways the Corona theorem for the algebra H...
Let B be a Blaschke product. We prove in several different ways the Corona theorem for the algebra H...
Abstract. Let Z be the unital simple nuclear infinite dimensional C∗-algebra which has the same Elli...
ABSTRACT. In this paper we study the problem of when the corona algebra of a non-unital C∗-algebra i...
AbstractWe show that simple C∗-algebras with an infinite element contain nontrivial projections. We ...
The purpose of this short note is to prove that a stable separable C*-algebra with real rank zero ha...
The purpose of this short note is to prove that a stable separable C*-algebra with real rank zero ha...
The purpose of this short note is to prove that a stable separable C*-algebra with real rank zero ha...
Abstract. We provide some examples of simple C*-algebras with nonzero real rank whose associated cor...
AbstractLocal and global definitions of pure infiniteness for a C∗-algebra A are compared, and equiv...
AbstractWe show that, for any irrational rotational algebraAθ,Aθ⊗O2≅O2. This is proved by combining ...
International audienceWe prove rigidity results for large classes of corona algebras, assuming the P...
AbstractWe study the question of whether stability is preserved under the operation of forming a con...
Abstract. We study Rørdam’s group, KL(A,B), and a corona factoriza-tion condition. Our key technical...
Abstract. We study the question of whether stability is preserved under the operation of forming a c...
Let B be a Blaschke product. We prove in several different ways the Corona theorem for the algebra H...
Let B be a Blaschke product. We prove in several different ways the Corona theorem for the algebra H...
Abstract. Let Z be the unital simple nuclear infinite dimensional C∗-algebra which has the same Elli...