A coassociativeC
*-quantum group with nonintegral dimensions |
| |
Authors: | Gabriella Bòhm Korníl Szlachónyi |
| |
Institution: | (1) Central Research Institute for Physics, POB 49, H-1525 Budapest 114, Hungary |
| |
Abstract: | By weakening the counit and antipode axioms of aC
*-Hopf algebra and allowing for the coassociative coproduct to be nonunital, we obtain a quantum group, that we call aweak C
*-Hopf algebra, which is sufficiently general to describe the symmetries of essentially arbitrary fusion rules. This amounts to generalizing the Baaj-Skandalis multiplicative unitaries to multipicative partial isometries. Every finite-dimensional weakC
*-Hopf algebra has a dual which is again a weakC
*-Hopf algebra. An explicit example is presented with Lee-Yang fusion rules. We briefly discuss applications to amalgamated crossed products, doubles, and quantum chains.Supported by the Hungarian Scientific Research Fund, OTKA T 016 233.Supported by the Hungarian Scientific Research Fund, OTKA-1815. |
| |
Keywords: | 81R50 |
本文献已被 SpringerLink 等数据库收录! |
|