Inclusions of von Neumann Algebras and Quantum groupoids III
Operator Algebras
2007-05-23 v1 Quantum Algebra
Abstract
In a former article, in collaboration with Jean-Michel Vallin, we have constructed two "quantum groupo\"{\i}ds" dual to each other, from a depth 2 inclusion of von Neumann algebras , in such a way that the canonical Jones'tower associated to the inclusion can be described as a tower of successive crossed-products by these two structures. We are now investigating in greater details these structures in the presence of an appropriate modular theory on the basis , and we show how these examples fit with Lesieur's "measured quantum groupo\"{\i}ds".
Keywords
Cite
@article{arxiv.math/0405480,
title = {Inclusions of von Neumann Algebras and Quantum groupoids III},
author = {Michel Enock},
journal= {arXiv preprint arXiv:math/0405480},
year = {2007}
}