On the comparison of norms of convolutors associated to noncommutative dynamics
| dc.creator | Anantharaman-Delaroche, Claire | |
| dc.date | 2006-05-26 | |
| dc.date.accessioned | 2026-07-07T07:39:41Z | |
| dc.date.available | 2026-07-07T07:39:41Z | |
| dc.description | To any action of a locally compact group $G$ on a pair $(A,B)$ of von Neumann algebras is canonically associated a pair $(π\_A^α, π\_B^α)$ of unitary representations of $G$. The purpose of this paper is to provide results allowing to compare the norms of the operators $π\_A^α(μ)$ and $π\_B^α(μ)$ for bounded measures $μ$ on $G$. We have a twofold aim. First to point out that several known facts in ergodic and representation theory are indeed particular cases of general results about $(π\_A^α, π\_B^α)$. Second, under amenability assumptions, to obtain transference of inequalities that will be useful in noncommutative ergodic theory. | |
| dc.identifier | https://arxiv.org/abs/math/0605686 | |
| dc.identifier | http://arxiv.org/abs/math/0605686 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121543 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55; 46L10; 22D25 | |
| dc.title | On the comparison of norms of convolutors associated to noncommutative dynamics | |
| dc.type | text |