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arXiv · 1804.09603

A Product on Double Cosets of $B_\infty$

Pablo Gonzalez Pagotto
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Abstract

For some infinite-dimensional groups $G$ and suitable subgroups $K$ there exists a monoid structure on the set $K\backslash G/K$ of double cosets of $G$ with respect to $K$. In this paper we show that the group $B_\infty$, of the braids with finitely many crossings on infinitely many strands, admits such a structure.

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Pablo Gonzalez Pagotto. 2018-04-25. A Product on Double Cosets of $B_\infty$. https://doi.org/10.3842/sigma.2018.134

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