2 problems

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The USP property of $L_p(\tau)$
USP conjecture for $L_p(\tau)$ . For $2<p<\infty$ , the space $L_p(\tau)$ is USP.
Conjectureopenbanach-spaces noncommutative-lp-spaces subprojective-spacesarXiv posted 2 days ago
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The scatteredness–subprojectivity characterization for separable C*-algebras
Scatteredness–subprojectivity conjecture. A separable $C^*$ -algebra is scattered if and only if it is subprojective.
Conjectureopenbanach-spaces c-star-algebras subprojective-spacesarXiv posted 2 days ago

The USP property of Lp(τ)L_p(\tau)Lp​(τ)