Induction in stages for crossed products of C*-algebras by maximal coactions
| dc.creator | Huef, Astrid an | |
| dc.creator | Kaliszewski, S. | |
| dc.creator | Raeburn, Iain | |
| dc.creator | Williams, Dana P. | |
| dc.date | 2006-02-10 | |
| dc.date | 2007-04-03 | |
| dc.date.accessioned | 2026-07-07T07:54:55Z | |
| dc.date.available | 2026-07-07T07:54:55Z | |
| dc.description | Let B be a C*-algebra with a maximal coaction of a locally compact group G, and let N and H be closed normal subgroups of G with N contained in H. We show that the process Ind_(G/H)^G which uses Mansfield's bimodule to induce representations of the crossed product of B by G from those of the restricted crossed product of B by (G/H) is equivalent to the two-stage induction process: Ind_(G/N)^G composed with Ind_(G/H)^(G/N). The proof involves a calculus of symmetric imprimitivity bimodules which relates the bimodule tensor product to the fibred product of the underlying spaces. | |
| dc.description | 38 pages, LaTeX, uses Xy-pic; significant reorganization of previous version; short section on regularity of induced representations added | |
| dc.identifier | https://arxiv.org/abs/math/0602222 | |
| dc.identifier | http://arxiv.org/abs/math/0602222 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126795 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 | |
| dc.title | Induction in stages for crossed products of C*-algebras by maximal coactions | |
| dc.type | text |