7 papers · 1 filter
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…
Quantum metrics from length functions on étale groupoids
Are Austad
We show how to construct a compact quantum metric space from a proper continuous length function on an étale groupoid with compact unit space, where the unit space additionally ha…
Detecting ideals in reduced crossed product C*-algebras of topological dynamical systems
Are Austad, Sven Raum
We introduce the -ideal intersection property for crossed product C*-algebras. It is implied by C*-simplicity as well as C*-uniqueness. We show that topological dynamical s…
Quantum metrics from length functions on quantum groups
Are Austad, David Kyed
We study the quantum metric structure arising from length functions on quantum groups and show that for coamenable quantum groups of Kac type, the quantum metric information is cap…
The ideal separation property for reduced group -algebras
Are Austad, Hannes Thiel
We say that an inclusion of an algebra into a -algebra has the ideal separation property if closed ideals in can be recovered by their intersection with . Such…
Quantum metrics on crossed products with groups of polynomial growth
Are Austad, Jens Kaad, David Kyed
We show how to equip the crossed product between a group of polynomial growth and a compact quantum metric space with a compact quantum metric space structure. When the quantum met…