Markov semigroups on unitary duals generated by quantized characters

Ryosuke Sato

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arXiv · 2102.09082

Markov semigroups on unitary duals generated by quantized characters

Ryosuke Sato

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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.

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BibTeX RIS

Ryosuke Sato. 2021-02-18. Markov semigroups on unitary duals generated by quantized characters. https://arxiv.org/abs/2102.09082

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