English

On Lesieur's Measured Quantum Groupoids

Operator Algebras 2007-06-12 v1

Abstract

In his thesis ([L1]), which is published in an expended and revised version ([L2]), Franck Lesieur had introduced a notion of measured quantum groupoid, in the setting of von Neumann algebras, using intensively the notion of pseudo-multiplicative unitary, which had been introduced in a previous article of the author, in collaboration with Jean-Michel Vallin [EV]. In [L2], the axioms given are very complicated and are here simplified.

Cite

@article{arxiv.0706.1472,
  title  = {On Lesieur's Measured Quantum Groupoids},
  author = {Michel Enock},
  journal= {arXiv preprint arXiv:0706.1472},
  year   = {2007}
}
R2 v1 2026-06-21T08:37:10.578Z