Add to ORKGWe explore various constructions with ideals in a $C^*$-algebra $A$ in relation to the notions of real rank, stable rank and extremal richness. In particular we investigate the maximum ideals of low rank. And we investigate the relationship between existence of infinite or properly infinite projections in an extremally rich $C^*$-algebra and non-existence of ideals or quotients of stable rank one
We study the structure and compute the stable rank of-algebras of finite higher-rank graphs. We comp...
We construct ideals in an arbitrary C*-algebra (which correspond to those of the Schatten p-ideals ...
A construction method is presented for a class of simple C*-algebras whose basic properties -includi...
AbstractWe introduce several classes of C∗-algebras (using for this local approximations by “nice” C...
AbstractWe show that every C*-algebra with real rank zero has exponential rank ≤ 1 + ϵ. Consequently...
Abstract. We provide some examples of simple C*-algebras with nonzero real rank whose associated cor...
We show that the class of C*-algebras with stable rank greater than a given positive integer is axio...
Abstract. We give a description of the monoid of Murray-von Neumann equivalence classes of projectio...
In this paper we estimate the real rank of $C^*$-algebras by that of their hereditary $C^*$-subalgeb...
Abstract. We estimate the stable rank of the soft tori of Exel and their isometric versions. Especia...
AbstractCombining a construction of Dadarlat of a unital, simple, non-exact C*-algebra C of real ran...
AbstractWe define and study a family of completely prime rank ideals in the universal enveloping alg...
It is shown that if $G$ is an almost connected nilpotent group then the stable rank of $C^*(G)$ is e...
We say that a $C^*$-algebra is Noetherian if it satisfies the ascending chain condition for two-side...
Abstract. We give an overview of the development over the last 15 years of the theory of simple C∗-a...
We study the structure and compute the stable rank of-algebras of finite higher-rank graphs. We comp...
We construct ideals in an arbitrary C*-algebra (which correspond to those of the Schatten p-ideals ...
A construction method is presented for a class of simple C*-algebras whose basic properties -includi...
AbstractWe introduce several classes of C∗-algebras (using for this local approximations by “nice” C...
AbstractWe show that every C*-algebra with real rank zero has exponential rank ≤ 1 + ϵ. Consequently...
Abstract. We provide some examples of simple C*-algebras with nonzero real rank whose associated cor...
We show that the class of C*-algebras with stable rank greater than a given positive integer is axio...
Abstract. We give a description of the monoid of Murray-von Neumann equivalence classes of projectio...
In this paper we estimate the real rank of $C^*$-algebras by that of their hereditary $C^*$-subalgeb...
Abstract. We estimate the stable rank of the soft tori of Exel and their isometric versions. Especia...
AbstractCombining a construction of Dadarlat of a unital, simple, non-exact C*-algebra C of real ran...
AbstractWe define and study a family of completely prime rank ideals in the universal enveloping alg...
It is shown that if $G$ is an almost connected nilpotent group then the stable rank of $C^*(G)$ is e...
We say that a $C^*$-algebra is Noetherian if it satisfies the ascending chain condition for two-side...
Abstract. We give an overview of the development over the last 15 years of the theory of simple C∗-a...
We study the structure and compute the stable rank of-algebras of finite higher-rank graphs. We comp...
We construct ideals in an arbitrary C*-algebra (which correspond to those of the Schatten p-ideals ...
A construction method is presented for a class of simple C*-algebras whose basic properties -includi...