Quantum Kahlerian Lie groups from multiplicative unitaries

smallest stable under suspensions, countable direct sums, K-equivalences and taking cones. Classical case : =

[Julg-Valette 1989] and [Kasparov-Skandalis 1991] I Dirac element Invertibility of the associated Dirac element without “rotation trick”. Actions of Drinfel’d double D(F U(Q )) in

We show that two approaches to equivariant strict deformation quantization of C ∗ - algebras by actions of negatively curved K¨ ahlerian Lie groups, one based on oscillatory

Using methods coming from non-formal equivariant quantization, we construct in this short note a unitary dual 2-cocycle on a discrete family of quotient groups of subgroups of

The paper is organized as follows: 1-2 contain preliminaries on the soft and hard liberation operations, in 3-4 we discuss the quantum reflection groups, in 5-6 we discuss the

In this paper we are interested in examples of locally compact quantum groups (M, ∆) such that both von Neumann algebras, M and the dual ˆ M , are factors.. There is a lot of

Then we construct Rieffel’s deformation of locally compact quantum groups and show that it is dual to the twisting.. This allows to give new interesting concrete examples of

Later on, both algebraic and analytic aspects of this construction were studied by S. Majid [32] - [35] who gave also a number of examples of operator algebraic quantum groups.