Video library: E. V. Lipacheva, On the structure of the reduced semigroup $C^*$-algebra for the semigroup $Z\rtimes Z^{\times}$

VIDEO LIBRARY


International Conference "Functions Theory, Operators Theory and Quantum Information Theory" October 20, 2022 15:00, Ufa

On the structure of the reduced semigroup $C^*$-algebra for the semigroup $Z\rtimes Z^{\times}$ E. V. Lipacheva
Abstract: We study the structure of the reduced semigroup $C^*$-algebra for the semigroup that is a semidirect product of the additive group $Z$ of all integers and the multiplicative semigroup of integers without zero $Z^{\times}:=Z\setminus\{0\}$. In the report we discuss various ways for the representation of this algebra as cross products with the infinite dihedral group $D$ and the multiplicative semigroup of natural numbers $\mathbb{N}$.