7 papers · 1 filter
Selflessness for twisted group C*-algebras of amenable groups and their inclusions
Tron Omland
For a discrete amenable group with a two-cocycle , we record a few results on when the twisted group -algebra is selfless, in the sense of Robert. In parti…
The Bures metric and the quantum metric on the density space of a C*-algebra: the non-unital case
Konrad Aguilar, Karina Behera, Katrine von Bornemann Hjelmborg +4
Building off work of Farenick and Rahaman, we extend the definition of the density space and the Bures metric to the setting of non-unital C*-algebras equipped with a faithful trac…
Metrics on completely positive maps via noncommutative geometry
Are Austad, Erik Bédos, Jonas Eidesen +2
We study methods of inducing metrics on unital completely positive maps by employing seminorms arising in noncommutative geometry. Our main approach relies on the development of an…
On the Bures metric, C*-norm, and the quantum metric
Konrad Aguilar, Karina Behera, Tron Omland +1
We prove that the topology on the density space with respect to a unital C*-algebra and a faithful induced by the C*-norm is finer than the Bures metric topology. We also provide a…
Rigidity theory for -dynamical systems and the "Pedersen Rigidity Problem", II
S. Kaliszewski, Tron Omland, John Quigg
This is a follow-up to a paper with the same title and by the same authors. In that paper, all groups were assumed to be abelian, and we are now aiming to generalize the results to…
C*-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type
Xin Li, Tron Omland, Jack Spielberg
We study C*-algebras generated by left regular representations of right LCM one-relator monoids and Artin-Tits monoids of finite type. We obtain structural results concerning nucle…