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

Debashish Goswami; Adam Skalski

Banach Center Publications (2012)

- Volume: 98, Issue: 1, page 199-214
- ISSN: 0137-6934

## Access Full Article

top## Abstract

top## How to cite

topDebashish 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.