Equivariance and Imprimitivity for Discrete Hopf C*-Coactions
| dc.creator | Kaliszewski, S. | |
| dc.creator | Quigg, John | |
| dc.date | 1997-12-23 | |
| dc.date | 1998-09-14 | |
| dc.date.accessioned | 2026-07-07T03:24:40Z | |
| dc.date.available | 2026-07-07T03:24:40Z | |
| dc.description | Let U, V, and W be multiplicative unitaries coming from discrete Kac systems such that W is an amenable normal submultiplicative unitary of V with quotient U. We define notions for right-Hilbert bimodules of coactions of S_V and (S_V)^, their restrictions to S_W and (S_U)^, their dual coactions, and their full and reduced crossed products. If N(A) denotes the imprimitivity bimodule associated to any coaction of S_V on a C*-algebra A by Ng's imprimitivity theorem, then for any suitably nondegenerate injective coaction of S_V on a right-Hilbert A - B bimodule X we establish an isomorphism between two tensor product bimodules involving N(A), N(B), and certain crossed products of X. This can be interpreted as a natural transformation between two crossed-product functors. | |
| dc.description | LaTeX-2e, 19 pages, uses pb-diagram.sty. Propositions 4.1, 4.2, and Lemma 4.3 (which had a gap in its proof) have been replaced by a minor additional nondegeneracy hypothesis in Theorem 4.4 (now 4.1) | |
| dc.identifier | https://arxiv.org/abs/funct-an/9712010 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9712010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33422 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 (Primary) 22D25 (Secondary) | |
| dc.title | Equivariance and Imprimitivity for Discrete Hopf C*-Coactions | |
| dc.type | text |