Duals of quantum semigroups with involution

Affiliation auteursAffiliation ok
TitreDuals of quantum semigroups with involution
Type de publicationJournal Article
Year of Publication2020
AuteursKuznetsova Y
JournalADVANCES IN OPERATOR THEORY
Volume5
Pagination167-203
Date PublishedFEB
Type of ArticleArticle
ISSN2538-225X
Mots-clésLocally 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.

DOI10.1007/s43036-019-00011-2