We show that two approaches to equivariant deformation of C∗-algebras by actions of negatively curved K¨ahlerian Lie groups, one based on oscillatory integrals and the other on quantizations maps defined by dual 2-cocycles, ...

Given a C ∗ -algebra A with a left action of a locally compact quantum group G on it and a unitary 2-cocycle Ω on ˆ G ,we define a deformation A Ω of A . The construction behaves well under certain ...

We reduce the Mathieu conjecture for SU (2) to a conjecture about moments of Laurent polynomials in two variables with single variable polynomial coefficients.

We show that two approaches to equivariant strict deformation quantization of C∗-algebras by actions of negatively curved Kählerian Lie groups, one based on oscillatory integrals and the other on quantizations maps defined ...

Let f be a non-zero polynomial with complex coefficients and define Mn(f) =R1 0 f(x)n dx. We use ideas of Duistermaat and van der Kallen to prove limsupn→∞ |Mn(f)|1/n > 0. In particular, Mn(f) 6= 0 for infinitely many n ∈ N.

Consider a locally compact group such that V is abelian and the action of Q on the dual abelian group has a free orbit of full measure. We show that such a group G can be quantized in three equivalent ways: (1) by ...

Let u be a compact semisimple Lie algebra, and σ be a Lie algebra involution of u. Let Repq(u) be the ribbon braided tensor C∗-category of admissible Uq(u)-representations for 0 < q < 1. We introduce three module C∗-categories ...