A class of C*-algebraic locally compact quantum groupoids Part II: Main theory
Operator Algebras
2019-08-21 v3
Abstract
This is Part II in our multi-part series of papers developing the theory of a subclass of locally compact quantum groupoids ("quantum groupoids of separable type"), based on the purely algebraic notion of weak multiplier Hopf algebras. The definition was given in Part I. The existence of a certain canonical idempotent element plays a central role. In this Part II, we develop the main theory, discussing the structure of our quantum groupoids. We will construct from the defining axioms the right/left regular representations and the antipode map.
Keywords
Cite
@article{arxiv.1711.00704,
title = {A class of C*-algebraic locally compact quantum groupoids Part II: Main theory},
author = {Byung-Jay Kahng and Alfons Van Daele},
journal= {arXiv preprint arXiv:1711.00704},
year = {2019}
}
Comments
Some minor revisions made; Bibliography updated