On the quantum 'ax+b'group

Abstract

The more detailed description of the quantum 'ax+b' group of Baaj and Skandalis is presented. In particular we give generators and present formulae for action of the comultiplication on them; it is also shown that this group is a quantization of a Poisson-Lie structure on a classical 'ax+b' group.

This is the final version as it appeared in Journal of Geometry and Physics

References in corpus (1)

• Non-semi-regular quantum groups coming from number theory

Cited by in corpus (4)

• Deformation of C*-algebras by cocycles on locally compact quantum groups
• Semidirect products of C*-quantum groups: multiplicative unitaries approach
• On the Poisson structure related to $\kappa$-Poincaré Group
• Quantization of subgroups of the affine group