On the Structure of Lie Group C*-Algebras and Compact Quantum Groups

1998/08/06 by Do Ngoc Diep, Diep, Do Ngoc
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Noncommutative and Quantum Gravity Theories #math.DG #math.KT #math.OA #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.math/9808034

19 pages, AmSLaTeX2e file

arxiv created 1998/08/06 · arxiv updated 2009/11/30

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.

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