10 citations · 43 across the 21 of their papers we have counts for
8 papers · 1 filter
I-factorial quantum torsors and Heisenberg algebras of quantized universal enveloping type
Kenny De Commer
We introduce a notion of I-factorial quantum torsor, which consists of an integrable ergodic action of a locally compact quantum group on a type I-factor such that also the crossed…
I-factorial quantum torsors
Kenny De Commer
In an earlier paper of the author, locally compact quantum torsors were defined for locally compact quantum groups, putting into the analytic framework the theory of Galois objects…
Actions of compact quantum groups
Kenny De Commer
These lecture notes, prepared for the summer school "Topological quantum groups", Bedlewo 2015, deal with aspects of the theory of actions of compact quantum groups on C*-algebras…
C*-algebraic partial compact quantum groups
Kenny De Commer
In this paper, we introduce C*-algebraic partial compact quantum groups, which are quantizations of topological groupoids with discrete object set and compact morphism spaces. Thes…
Comonoidal W*-Morita equivalence for von Neumann bialgebras
Kenny De Commer
A theory of Galois co-objects for von Neumann bialgebras is introduced. This concept is closely related to the notion of comonoidal W*-Morita equivalence between von Neumann bialge…
A note on the von Neumann algebra underlying some universal compact quantum groups
Kenny De Commer
We show that for F an invertible 2 by 2 matrix, the von Neumann algebra associated to the universal quantum group A_u(F) is a free Araki-Woods factor.