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A Product on Double Cosets of $B_\infty$
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: Braid group; double cosets; Burau representation. 
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     author = {Pablo Gonzalez Pagotto},
     title = {A {Product} on {Double} {Cosets} of $B_\infty$},
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}
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Pablo Gonzalez Pagotto. A Product on Double Cosets of $B_\infty$. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a133/

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