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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.OA2026
Lattices of strongly reflexive masa-bimodules
Rupert H. Levene, Ying-Fen Lin, Ivan G. Todorov
We characterise the density of the positive rank one subspace of a masa-bimodule in terms of its support. We prove that strongly reflexive masa-bimodules form a Boolean lattice und…