Characters of the Infinite Symmetric Inverse Semigroup
Nikolai Ivanovich Nessonov · Functional Analysis and Its Applications · 2020
Abstract A complete description of indecomposable characters of the infinite symmetric inverse semigroup is given. The method essentially uses the decomposition of the elements of this semigroup into a product of independent quasi-cycles and the multiplicativity theorem. Realizations of all factor representations of finite type are constructed.