K. Commer

collaborators

4 papers

math.QA2025

Quantum $S L^{+} (N, R)$ as a locally compact quantum group

K. De Commer, G. Schrader, A. Shapiro +1

We construct the first examples of purely continuous, $q$ -deformed Lie type locally compact quantum groups in higher rank. They arise from Drinfeld-Jimbo quantization, at unimodula…

math.QA2025

Induction for representations of coideal doubles, with an application to quantum $S L (2, R)$

Kenny De Commer

We investigate the theory of induction in the setting of doubles of coideal $*$ -subalgebras of compact quantum group Hopf $*$ -algebras. We then exemplify parts of this theory in th…

math.OA2024

Projective representation theory for compact quantum groups and the quantum Baum-Connes assembly map

We study the theory of projective representations for a compact quantum group $G$ , i.e. actions of $G$ on $B (H)$ for some Hilbert space $H$ . We show tha…

math.OA2024

Braided tensor product of von Neumann algebras

Kenny De Commer, Jacek Krajczok

We introduce a definition of braided tensor product $M ⊠ N$ of von Neumann algebras equipped with an action of a quasi-triangular qua…

Quantum SL+(N,R) as a locally compact quantum group

Induction for representations of coideal doubles, with an application to quantum SL(2,R)

Projective representation theory for compact quantum groups and the quantum Baum-Connes assembly map

Braided tensor product of von Neumann algebras

Quantum $S L^{+} (N, R)$ as a locally compact quantum group

Induction for representations of coideal doubles, with an application to quantum $S L (2, R)$