The Structure of Certain Unitary Representations of Infinite Symmetric Groups
The Structure of Certain Unitary Representations of Infinite Symmetric Groups
Let S be an infinite set, $\beta$ an infinite cardinal number, and ${G_\beta }(S)$ the group of those permutations of S whose support has cardinal number less than $\beta$. If T is any nonempty set, ${S^T}$ is the set of functions from T to S. The canonical representation $\Lambda _\beta …