4 citations · 14 across the 14 of their papers we have counts for
14 papers
Wold Decomposition and C*-envelopes of Self-Similar Semigroup Actions on Graphs
Boyu Li, Dilian Yang
We study the Wold decomposition for representations of a self-similar semigroup action on a directed graph . We then apply this decomposition to the case where $P=\mathbb{N}…
Imprimitivity theorems and self-similar actions on Fell bundles
Anna Duwenig, Boyu Li
We introduce the notion of self-similar actions of grouopids on other groupoids and Fell bundles. This leads to a new imprimitivity theorem arising from such dynamics, generalizing…
Equivalence of Fell bundles is an equivalence relation
Anna Duwenig, Boyu Li
We introduce the notion of groupoid pre-equivalences and prove that they give rise to groupoid equivalences by taking certain quotients. Then, given an equivalence of Fell bundles…
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…