Markov semigroups on unitary duals generated by quantized characters
Probability
2021-05-04 v2 Operator Algebras
Representation Theory
Abstract
In this paper, we study Markov dynamics on unitary duals of compact quantum groups. We construct such dynamics from characters of quantum groups. Then we show that the dynamics have generators, and we give an explicit formula of the generators using the representation theory. Moreover, we construct Markov dynamics on the unitary dual of an inductive limit of compact quantum groups.
Keywords
Cite
@article{arxiv.2102.09082,
title = {Markov semigroups on unitary duals generated by quantized characters},
author = {Ryosuke Sato},
journal= {arXiv preprint arXiv:2102.09082},
year = {2021}
}
Comments
22 pages