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Equation de Choquet-Deny sur le dual d'un groupe compact
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  • Published: March 1992

Equation de Choquet-Deny sur le dual d'un groupe compact

  • Ph. Biane1 

Probability Theory and Related Fields volume 94, pages 39–51 (1992)Cite this article

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Résumé

On étudie les solutions de l'équation de convolution ϕ*ν=ϕ où ϕ et ν sont respectivement un poids et un état sur l'algèbre de von Neumann d'un groupe compactG, la convolution * étant déterminée par la structure d'algèbre de Hopf de cette algèbre de von Neumann.

Summary

We study the solutions of the convolution equation ϕ*ν=ϕ where ϕ and ν are a weight and a state on the von Neumann algebra of a compact group, and the convolution is given by the Hopf algebra structure of this von Neumann algebra.

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Références

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Authors and Affiliations

  1. Laboratoire de Probabilités, Tour 56 3e étage, 4, place Jussieu, F-75252, Paris Cedex 05, France

    Ph. Biane

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  1. Ph. Biane
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Biane, P. Equation de Choquet-Deny sur le dual d'un groupe compact. Probab. Th. Rel. Fields 94, 39–51 (1992). https://doi.org/10.1007/BF01222508

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  • Received: 06 February 1991

  • Issue Date: March 1992

  • DOI: https://doi.org/10.1007/BF01222508

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