Analysis on a Homogeneous Space of a Quantum Group
Abstract
A detailed account of the construction of a homogeneous space for the quantum "az+b" group is presented. The homogeneous space is described by a commutative C*-algebra which means that it is a classical space. Then a covariant differential calculus on the homogeneous space is constructed and studied. A covariant measure and an analogue of the exponential function are used to introduce elements of Fourier analysis.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- September 2005
- DOI:
- 10.48550/arXiv.math/0509610
- arXiv:
- arXiv:math/0509610
- Bibcode:
- 2005math......9610P
- Keywords:
-
- Mathematics - Operator Algebras;
- 46L87;
- 46L89;
- 46L51