English

The Haar measure on some locally compact quantum groups

Operator Algebras 2007-05-23 v1

Abstract

The Haar measure on some locally compact quantum groups is constructed. The main example we treat is the az+b-group of Woronowicz. We also briefly consider some other examples (like the ax+b-group). We get the first examples of a locally compact quantum group where the Haar measure is not invariant with respect to the scaling group.

Keywords

Cite

@article{arxiv.math/0109004,
  title  = {The Haar measure on some locally compact quantum groups},
  author = {Alfons Van Daele},
  journal= {arXiv preprint arXiv:math/0109004},
  year   = {2007}
}