18 citations · 29 across the 7 of their papers we have counts for
10 papers
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…
The centre-quotient property and weak centrality for -algebras
Robert J. Archbold, Ilja Gogić
We give a number of equivalent conditions (including weak centrality) for a general -algebra to have the centre-quotient property. We show that every -algebra has a l…
Maximally unitarily mixed states on a C*-algebra
Robert Archbold, Leonel Robert, Aaron Tikuisis
We investigate the set of maximally mixed states of a C*-algebra, extending previous work by Alberti on von Neumann algebras. We show that, unlike for von Neumann algebras, the set…
The Dixmier property and tracial states for C*-algebras
Robert Archbold, Leonel Robert, Aaron Tikuisis
It is shown that a unital C*-algebra A has the Dixmier property if and only if it is weakly central and satisfies certain tracial conditions. This generalises the Haagerup-Zsido th…
Norms of inner derivations for multiplier algebras of C*-algebras and group C*-algebras, II
Robert J. Archbold, Eberhard Kaniuth, Douglas W. B. Somerset
The derivation constant has been extensively studied for \emph{unital} non-commutative -algebras. In this paper, we investigate properties of …
The C*-algebras of compact transformation groups
Robert Archbold, Astrid an Huef
We investigate the representation theory of the crossed-product C*-algebra associated to a compact group G acting on a locally compact space X when the stability subgroups vary dis…