collaborators

4 papers

math.RA2026

-Bunce-Deddens Algebras

Allen Zhang

We construct an -algebraic analog of the Bunce-Deddens algebra using the theory of Leavitt labelled path algebras. In particular, we will construct a labelled space whose associ…

math.RA2025

Relative Generalized Boolean Dynamical System Algebras

Allen Zhang

We study an algebraic analog of a C*-algebra associated to a generalized Boolean dynamical system which parallels the relation between graph C*-algebras and Leavitt path algebras.…

math.RA2025

Morita Equivalence of Subrings with Applications to Inverse Semigroup Algebras

Allen Zhang

We develop a technique to show the Morita equivalence of certain subrings of a ring with local units. We then apply this technique to develop conditions that are sufficient to show…

math.RA2025

Partial Actions on Generalized Boolean Algebras with Applications to Inverse Semigroups and Combinatorial -Algebras

Allen Zhang

We define the notion of a partial action on a generalized Boolean algebra and associate to every such system and commutative unital ring an -algebra. We prove that every str…