Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6426013 | Advances in Mathematics | 2012 | 33 Pages |
Abstract
Let SUq(2) and EËq(2) be Woronowicz's q-deformations of respectively the compact Lie group SU(2) and the non-trivial double cover of the Lie group E(2) of Euclidean transformations of the plane. We prove that, in some sense, their duals are 'Morita equivalent locally compact quantum groups'. In more concrete terms, we prove that the von Neumann algebraic quantum groups Lâ(SUq(2)) and Lâ(EËq(2)) are unitary cocycle deformations of each other.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Kenny De Commer,