2 problems

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The cross-section conjecture for maximal abelian subalgebras of quotient AW*-algebras
Cross-section conjecture. Any quotient algebra $B$ of an $AW^*$ -algebra $A$ modulo a separable lattice ideal is an $AW^*$ -algebra, and each maximal abelian subalgebra…
Conjectureopenaw-algebras injective-envelopes operator-algebrasarXiv posted 2 days ago
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The injective-envelope conjecture for the maximal fixed-point operator system
Let $\mathcal{A}$ be a unital operator system, let $I(\mathcal{A})$ denote its injective envelope, and let $\mathcal{F}(\mathcal{A})$ be the operator system defined in the paper. T…
Conjectureopeninjective-envelopes operator-algebras operator-systemsarXiv posted 2 days ago

The cross-section conjecture for maximal abelian subalgebras of quotient AW*-algebras