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arXiv · 2606.18099

Lattices of strongly reflexive masa-bimodules

Rupert H. Levene·Ying-Fen Lin·Ivan G. Todorov
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Abstract

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 under naturally defined operations. We examine the lattice-theoretic properties of the class of strongly reflexive masa-bimodules that are also operator systems and some natural subclasses thereof, and provide a topological description of the lattice operations in the case the masa-bimodules arise from closed subsets of a locally compact group.

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Rupert H. Levene, Ying-Fen Lin, Ivan G. Todorov. 2026-06-16. Lattices of strongly reflexive masa-bimodules. https://arxiv.org/abs/2606.18099

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