A Product on Double Cosets of $B_{\infty }$

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.

References in corpus (1)

• Infinite tri-symmetric group, multiplication of double cosets, and checker topological field theories

Cited by in corpus (1)

• Braided surfaces and their characteristic maps