On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set

Debashish Goswami, and Adam Skalski. "On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set." Banach Center Publications 98.1 (2012): 199-214. <http://eudml.org/doc/281680>.

@article{DebashishGoswami2012,
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.},
author = {Debashish Goswami, Adam Skalski},
journal = {Banach Center Publications},
keywords = {quantum semigroups; quantum permutation groups; von Neumann algebras; projective limit},
language = {eng},
number = {1},
pages = {199-214},
title = {On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set},
url = {http://eudml.org/doc/281680},
volume = {98},
year = {2012},
}

TY - JOUR
AU - Debashish Goswami
AU - Adam Skalski
TI - On two possible constructions of the quantum semigroup of all quantum permutations of an infinite countable set
JO - Banach Center Publications
PY - 2012
VL - 98
IS - 1
SP - 199
EP - 214
AB - 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.
LA - eng
KW - quantum semigroups; quantum permutation groups; von Neumann algebras; projective limit
UR - http://eudml.org/doc/281680
ER -