25 citations · 164 across the 24 of their papers we have counts for
33 papers
Selfless C*-algebras
Leonel Robert
The aim of this note is to advertise a class of simple C*-algebras which includes noteworthy examples such as the Jiang-Su C*-algebra, the infinite dimensional UHF C*-algebras, the…
Distinguishing C*-algebras by their unitary groups
Lionel Fogang Takoutsing, Leonel Robert
We obtain partial affirmative answers to the question whether isomorphism of the unitary groups of two C*-algebras, either as topological groups or as discrete groups, implies isom…
Traces on ultrapowers of C*-algebras
Ramon Antoine, Francesc Perera, Leonel Robert +1
Using Cuntz semigroup techniques, we characterize when limit traces are dense in the space of all traces on a free ultrapower of a C*-algebra. More generally, we consider density o…
Simplicity, bounded normal generation, and automatic continuity of groups of unitaries
Abhinav Chand, Leonel Robert
We show that the commutator subgroup of the group of unitaries connected to the identity in a simple unital C*-algebra is simple modulo its center. We then go on to investigate the…
Local variants of the Dixmier property and weak centrality for C*-algebras
Robert J. Archbold, Ilja Gogić, Leonel Robert
We study variants of the Dixmier property that apply to elements of a unital C*-algebra, rather than to the C*-algebra itself. By a Dixmier element in a C*-algebra we understand on…
C*-algebras where every element is a limit of products of positive elements
Leonel Robert
We obtain a characterization of the unital C*-algebras with the property that every element is a limit of products of positive elements, thereby answering a question of Murphy and…