Non-Commutative Geometry Methods for Group C*-Algebras
K-Theory and Homology
2014-06-09 v1 Operator Algebras
Representation Theory
Symplectic Geometry
Abstract
This research notes is intended to provide a quick introduction to the subject. We expose a K-theoretic approach to study group C*-algebras: started in the elementary part, with one example of description of the structure of C*-algebras of the group of affine transformations of the real straight line, continued then for special classes of solvable and nilpotent Lie groups. In the second advanced part, we introduced the main tools of the theory. In particular, the conception of multidimensional geometric quantization and the index of group C*-algebras were created and developed.
Keywords
Cite
@article{arxiv.math/9807124,
title = {Non-Commutative Geometry Methods for Group C*-Algebras},
author = {Do Ngoc Diep},
journal= {arXiv preprint arXiv:math/9807124},
year = {2014}
}
Comments
282 pages, AMSLaTeX file; to appear in Pitman Mathematics Series of Research Notes