C*-algebras generated by groups of composition operators
| dc.creator | Jury, Michael T. | |
| dc.date | 2005-09-26 | |
| dc.date.accessioned | 2026-07-07T06:19:20Z | |
| dc.date.available | 2026-07-07T06:19:20Z | |
| dc.description | We compute the C*-algebra generated by a group of composition operators acting on certain reproducing kernel Hilbert spaces over the disk, where the symbols belong to a non-elementary Fuchsian group. We show that such a C*-algebra contains the compact operperators, and its quotient is isomorphic to the crossed product C*-algebra determined by the action of the group on the boundary circle. In addition we show that the C*-algebras obtained from composition operators acting on a natural family of Hilbert spaces are in fact isomorphic, and also determine the same Ext-class, which can be related to known extensions of the crossed product. | |
| dc.description | 25 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0509614 | |
| dc.identifier | http://arxiv.org/abs/math/0509614 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95038 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47B33 (primary), 20H10, 46L80, 47L80 (secondary) | |
| dc.title | C*-algebras generated by groups of composition operators | |
| dc.type | text |