2 papers
math.OA2026
Cartan inverse semigroups and twisted Steinberg algebras
Nathan Brownlowe, Lisa Orloff Clark, Ying-Fen Lin +1
We introduce the notion of a Cartan inverse semigroup and an (algebraic) semi-Cartan subalgebra in an -algebra A, providing a purely algebraic analogue of Cartan semigroups and…
math.RA2025
On Graded Quasi-Cartan Pairs and Twisted Steinberg Algebras
Lisa Orloff Clark, Lynnel D. Naingue, Jocelyn P. Vilela
We generalise recent results about quasi-Cartan, Cartan and diagonal subalgebras by introducing graded versions. We show that there is a correspondence between graded algebraic qua…