Amenability and co-amenability of algebraic quantum groups II

Details Amenability and co-amenability of algebraic quantum groups II Amenability and co-amenability of algebraic quantum groups II

2001-11-02

arxiv.org/abs/math/0111026v1

Mathematics

Operator Algebras

34 pages

Scientific paper

We continue our study of the concepts of amenability and co-amenability for algebraic quantum groups in the sense of A. Van Daele and our investigation of their relationship with nuclearity and injectivity. One major tool for our analysis is that every non-degenerate *-representation of the universal C*-algebra associated to an algebraic quantum qroup has a unitary generator which may be described in a concrete way.

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