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math.OA2026
Endomorphisms of the 2-adic ring -algebra and its Weyl group
Dolapo Oyetunbi, Dilian Yang
In this paper, we establish a one-to-one correspondence between a natural monoid and the endomorphisms of the -adic ring -algebra . As a consequence, we clas…
math.OA2025
Maximality and symmetry related to the \(2\)-adic ring \(C^*\)-algebra
Dolapo Oyetunbi, Dilian Yang
The 2-adic ring -algebra is the universal -algebra generated by a unitary and an isometry satisfying certain relations. It contains a canonical copy of th…
math.OA2025
Semigroups of self-similar actions and higher rank Baumslag-Solitar semigroups
Robert Valente, Dilian Yang
In this paper, we initiate the study of higher rank Baumslag-Solitar semigroups and their related C*-algebras. We focus on two extreme, but interesting, classes - one is related to…