On the Structure of Lie Group C*-Algebras and Compact Quantum Groups
Abstract
We expose a K-theoretic approach to study group C*-algebras and C*-algebraic compact quantum groups: 1. The conception of multidimensional geometric quantization and the index of group C*-algebras; 2. the entire homology of noncommutative de Rham currents and the noncommutative Chern characters, and their computation for C*-algebras of compact Lie groups and compact quantum groups.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- August 1998
- DOI:
- 10.48550/arXiv.math/9808034
- arXiv:
- arXiv:math/9808034
- Bibcode:
- 1998math......8034D
- Keywords:
-
- Mathematics - K-Theory and Homology;
- Mathematics - Differential Geometry;
- Mathematics - Operator Algebras;
- Mathematics - Quantum Algebra;
- Mathematics - Representation Theory
- E-Print:
- 19 pages, AmSLaTeX2e file