Categorical Landstad duality for actions
| dc.creator | Kaliszewski, S. | |
| dc.creator | Quigg, John | |
| dc.date | 2006-12-26 | |
| dc.date | 2007-11-14 | |
| dc.date.accessioned | 2026-07-07T08:42:44Z | |
| dc.date.available | 2026-07-07T08:42:44Z | |
| dc.description | We show that the category A(G) of actions of a locally compact group G on C*-algebras (with equivariant nondegenerate *-homomorphisms into multiplier algebras) is equivalent, via a full-crossed-product functor, to a comma category of maximal coactions of G under the comultiplication (C*(G),delta_G); and also that A(G) is equivalent, via a reduced-crossed-product functor, to a comma category of normal coactions under the comultiplication. This extends classical Landstad duality to a category equivalence, and allows us to identify those C*-algebras which are isomorphic to crossed products by G as precisely those which form part of an object in the appropriate comma category. | |
| dc.description | 29 pages. Extensively revised, although essentially the same main results | |
| dc.identifier | https://arxiv.org/abs/math/0612771 | |
| dc.identifier | http://arxiv.org/abs/math/0612771 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142070 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 (Primary); 46M15, 18A25 (Secondary) | |
| dc.title | Categorical Landstad duality for actions | |
| dc.type | text |