25 citations · 164 across the 24 of their papers we have counts for
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math.OA2021
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…
math.OA2021
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…
math.OA2021
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…