Quantum semigroups generated by locally compact semigroups - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Illinois Journal of Mathematics Année : 2018

Quantum semigroups generated by locally compact semigroups

Résumé

Let $S$ be a subsemigroup of a second countable locally compact group $G$, such that $S^{-1}S=G$. We consider the $C^*$-algebra $C^*_\delta(S)$ generated by the operators of translation by all elements of $S$ in $L^2(S)$. We show that this algebra admits a comultiplication which turns it into a compact quantum semigroup. The same is proved for the von Neumann algebra $VN(S)$ generated by $C^*_\delta(S)$.

Dates et versions

hal-03192535 , version 1 (08-04-2021)

Identifiants

Citer

Yulia Kuznetsova, Marat A. Aukhadiev. Quantum semigroups generated by locally compact semigroups. Illinois Journal of Mathematics, 2018, 62 (1-4), ⟨10.1215/ijm/1552442656⟩. ⟨hal-03192535⟩
20 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More