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arXiv · 1211.6149

On concentration of convolutions of double cosets at infinite-dimensional limit

Yury A. Neretin
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Abstract

For infinite-dimensional groups $G\supset K$ the double cosets $K\setminus G/K$ quite often admit a structure of a semigroup; these semigroups act in $K$-fixed vectors of unitary representations of $G$. We show that such semigroups can be obtained as limits of double cosets hypergroups (or Iwahori--Hecke type algebras) on finite-dimensional (or finite) groups.

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Yury A. Neretin. 2012-11-26. On concentration of convolutions of double cosets at infinite-dimensional limit. https://arxiv.org/abs/1211.6149

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