2 papers
math.OA2026
Dilating Semigroup Representations to the Boundary Quotient
Ujan Chakraborty
We prove that a representation of a group embeddable or right LCM cancellative semigroup may be dilated to a representation of its reduced boundary quotient -algebra if an…
math.DS2026
Ergodic Average Dominance for Unimodular Amenable Groups
Ujan Chakraborty, Runlian Xia, Joachim Zacharias
In this paper we show that the ergodic averages of the action of any unimodular amenable group along certain Følner sequences can be dominated by the Cesà ro means of a suitably c…