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Article Dans Une Revue International Mathematics Research Notices Année : 2015

Random walk questions for linear quantum groups.

Résumé

We study the discrete quantum groups Gamma whose group algebra has an inner faithful representation of type pi : C*(Gamma) -> M-K(C). Such a representation can be thought of as coming from an embedding Gamma subset of U-K. Our main result, concerning a certain class of examples of such quantum groups, is an asymptotic convergence theorem for the random walk on G. The proof uses various algebraic and probabilistic techniques.

Dates et versions

hal-01898702 , version 1 (18-10-2018)

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Teodor Banica, Julien Bichon. Random walk questions for linear quantum groups.. International Mathematics Research Notices, 2015, 2015 (24), pp.13406-13436. ⟨10.1093/imrn/rnv102⟩. ⟨hal-01898702⟩
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