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Wold Decomposition on Odometer Semigroups
Boyu Li
We establish a Wold-type decomposition for isometric and isometric Nica-covariant representations of the odometer semigroup. These generalize the Wold-type decomposition for commut…
Dilation theory for right LCM semigroup dynamical systems
Marcelo Laca, Boyu Li
This paper examines actions of right LCM semigroups by endomorphisms of C*-algebras that encode an additional structure of the right LCM semigroup. We define contractive covariant…
Zappa-Szép actions of groups on product systems
Boyu Li, Dilian Yang
Let be a group and be a product system over a semigroup . Suppose has a left action on and has a right action on , so that one can form a Zappa-Szép produ…
-Envelope and Dilation Theory of Semigroup Dynamical Systems
Boyu Li
In this paper, we construct, for a certain class of semigroup dynamical systems, two operator algebras that are universal with respect to their corresponding covariance conditions:…
Amenability and functoriality of right-LCM semigroup C*-algebras
Marcelo Laca, Boyu Li
We prove a functoriality result for the full C*-algebras of right-LCM monoids with respect to monoid inclusions that are closed under factorization and preserve orthogonality, and…