Zobrazeno 1 - 10
of 63
pro vyhledávání: '"De Commer, K."'
Autor:
De Commer, K., De Ro, J.
Let $\mathbb{G}$ be a compact quantum group and $A\subseteq B$ an inclusion of $\sigma$-finite $\mathbb{G}$-dynamical von Neumann algebras. We prove that the $\mathbb{G}$-inclusion $A\subseteq B$ is strongly equivariantly amenable if and only if it i
Externí odkaz:
http://arxiv.org/abs/2408.05571
Autor:
De Commer, K., De Ro, J.
Let $\mathbb{G}$ be a locally compact quantum group, and $A,B$ von Neumann algebras on which $\mathbb{G}$ acts. We refer to these as $\mathbb{G}$-dynamical W$^*$-algebras. We make a study of $\mathbb{G}$-equivariant $A$-$B$-correspondences, that is,
Externí odkaz:
http://arxiv.org/abs/2308.05024
Autor:
De Commer, K., Floré, M.
Publikováno v:
Int. Math. Res. Notices 2017 (16) (2017), 5047-5077
We show that the duals of Woronowicz's quantum SU(2)-groups converge, within the operator algebraic setting, to the group of special upper triangular 2-by-2 matrices with positive diagonal.
Comment: 31 pages
Comment: 31 pages
Externí odkaz:
http://arxiv.org/abs/1602.02508
Autor:
De Commer, K.
Publikováno v:
Banach Center Publications 98 (2012), 85-105
We show that the family of Podles' spheres is complete under equivariant Morita equivalence (with respect to the action of quantum SU(2)), and determine the associated orbits. We also give explicit formulas for the actions which are equivariantly Mor
Externí odkaz:
http://arxiv.org/abs/1102.4990
Autor:
De Commer, K.
Publikováno v:
Algebras and Representation Theory 15 (4) (2012), 795-815
In this note we construct bi-*-Galois objects linking the quantized universal enveloping algebras associated to the Lie groups SU(2), E(2) and SU(1,1), where E(2) denotes the Lie group of Euclidian transformations of the plane, and we show how one ca
Externí odkaz:
http://arxiv.org/abs/1001.2153
Autor:
De Commer, K.
Publikováno v:
Adv. Math. 229 (2) (2012), 1047-1079
Let SU_q(2) and E_q(2) be Woronowicz' q-deformations of respectively the compact Lie group SU(2) and the non-trivial double cover of the Lie group E(2) of Euclidian transformations of the plane. We prove that, in some sense, their duals are `Morita e
Externí odkaz:
http://arxiv.org/abs/0912.4350
Autor:
De Commer, K.
Publikováno v:
Journal of Operator Theory, 66 (1) (2011) 59-106
In this article, we investigate the notion of a Galois object for a locally compact quantum group M. Such an object consists of a von Neumann algebra N equipped with an ergodic integrable coaction of M on N, such that the crossed product is a type I
Externí odkaz:
http://arxiv.org/abs/0804.2405