Duals of quantum semigroups with involution
Affiliation auteurs | Affiliation ok |
Titre | Duals of quantum semigroups with involution |
Type de publication | Journal Article |
Year of Publication | 2020 |
Auteurs | Kuznetsova Y |
Journal | ADVANCES IN OPERATOR THEORY |
Volume | 5 |
Pagination | 167-203 |
Date Published | FEB |
Type of Article | Article |
ISSN | 2538-225X |
Mots-clés | Locally compact quantum groups, Pontryagin duality, Quantum semigroups |
Résumé | We define a category QSI of quantum semigroups with involution and a duality map on it. For locally compact quantum groups, this establishes a duality between the universal algebras of Kustermans. Objects in QSI are von Neumann algebras with only comultiplication and coinvolution (antipode). Other examples are also given. |
DOI | 10.1007/s43036-019-00011-2 |