On the Structure of Lie Group C*-Algebras and Compact Quantum Groups
K-Theory and Homology
2007-05-23 v1 Differential Geometry
Operator Algebras
Quantum Algebra
Representation Theory
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.
Keywords
Cite
@article{arxiv.math/9808034,
title = {On the Structure of Lie Group C*-Algebras and Compact Quantum Groups},
author = {Do Ngoc Diep},
journal= {arXiv preprint arXiv:math/9808034},
year = {2007}
}
Comments
19 pages, AmSLaTeX2e file