Quantum Riemann surfaces: II. The discrete series

✍ Scribed by Slawomir Klimek; Andrzej Lesniewski

• Publisher: Springer
• Year: 1992
• Tongue: English
• Weight: 515 KB
• Volume: 24
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00402676

✦ Synopsis

We continue our study of noncommutative deformations of two-dimensional hyperbolic manifolds which we initiated in Part I. We construct a sequence of C*-algebras which are quantizations of a compact Riemann surface of genus g corresponding to special values of the Planck constant. These algebras are direct integrals of finite-dimensional C*-algebras.