On C*-algebras generated by pairs of q-commuting isometries
| dc.creator | Jorgensen, Palle E. T. | |
| dc.creator | Proskurin, Daniil P. | |
| dc.creator | Samoilenko, Yurii S. | |
| dc.date | 2003-11-07 | |
| dc.date | 2003-11-13 | |
| dc.date.accessioned | 2026-07-07T05:02:43Z | |
| dc.date.available | 2026-07-07T05:02:43Z | |
| dc.description | We consider the C*-algebras O_2^q and A_2^q generated, respectively, by isometries s_1, s_2 satisfying the relation s_1^* s_2 = q s_2 s_1^* with |q| < 1 (the deformed Cuntz relation), and by isometries s_1, s_2 satisfying the relation s_2 s_1 = q s_1 s_2 with |q| = 1. We show that O_2^q is isomorphic to the Cuntz-Toeplitz C*-algebra O_2^0 for any |q| < 1. We further prove that A_2^{q_1} is isomorphic to A_2^{q_2} if and only if either q_1 = q_2 or q_1 = complex conjugate of q_2. In the second part of our paper, we discuss the complexity of the representation theory of A_2^q. We show that A_2^q is *-wild for any q in the circle |q| = 1, and hence that A_2^q is not nuclear for any q in the circle. | |
| dc.description | 18 pages, LaTeX2e "article" document class; submitted. V2 clarifies the relationships between the various deformation systems treated | |
| dc.identifier | https://arxiv.org/abs/math/0311115 | |
| dc.identifier | http://arxiv.org/abs/math/0311115 | |
| dc.identifier | J. Phys. A: Math. Gen. 38 (2005) 2669-2680 | |
| dc.identifier | doi:10.1088/0305-4470/38/12/009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69117 | |
| dc.subject | Operator Algebras | |
| dc.title | On C*-algebras generated by pairs of q-commuting isometries | |
| dc.type | text |