On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set
Operator Algebras
2012-06-26 v2
Abstract
Two different models for a Hopf-von Neumann algebra of bounded functions on the quantum semigroup of all (quantum) permutations of infinitely many elements are proposed, one based on projective limits of enveloping von Neumann algebras related to finite quantum permutation groups, and the second on a universal property with respect to infinite magic unitaries.
Keywords
Cite
@article{arxiv.1009.4726,
title = {On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set},
author = {Debashish Goswami and Adam Skalski},
journal= {arXiv preprint arXiv:1009.4726},
year = {2012}
}
Comments
15 pages, v2 changes a title to better reflect the content of the paper, corrects some typos and adds a few more references