Hecke C*-algebras, Schlichting completions, and Morita equivalence
| dc.creator | Kaliszewski, S. | |
| dc.creator | Landstad, Magnus B. | |
| dc.creator | Quigg, John | |
| dc.date | 2003-11-13 | |
| dc.date | 2007-02-08 | |
| dc.date.accessioned | 2026-07-07T07:45:17Z | |
| dc.date.available | 2026-07-07T07:45:17Z | |
| dc.description | The Hecke algebra H(G,H) of a Hecke pair (G,H) is studied using the Schlichting completion (G',H'), which is a Hecke pair whose Hecke algebra is isomorphic to H(G,H) and which is topologized so that H' is a compact open subgroup of G'. In particular, the representation theory and C*-completions of H(G,H) are addressed in terms of the projection p in C*(G') corresponding to the characteristic function of H', using both Fell's and Rieffel's imprimitivity theorems and the identity H(G,H) = p C_c(G') p. An extended analysis of the case where H is contained in a normal subgroup of G (and in particular the case where G is a semidirect product) is carried out, and several specific examples are analyzed using this approach. | |
| dc.description | 43 pages. Minor revision | |
| dc.identifier | https://arxiv.org/abs/math/0311222 | |
| dc.identifier | http://arxiv.org/abs/math/0311222 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123481 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 (Primary); 20C08 (Secondary) | |
| dc.title | Hecke C*-algebras, Schlichting completions, and Morita equivalence | |
| dc.type | text |