4 problems

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BFSS conjecture on the matrix-theoretic limit of M-theory
BFSS conjecture. The putative $M$ -theory is a “suitable” limit of theories on matrix algebras.
Conjectureopenmathematical-physics quantum-metric-spaces string-theoryarXiv posted 2 days ago
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Failure of Rieffel's inequality for reduced groupoid $C^{\ast}$ -algebras
Let $\mathcal G$ be an étale groupoid, possibly a transformation groupoid, and let $C^{\ast}_{r}(\mathcal G)$ denote its reduced $C^{\ast}$ -algebra. Consider the inequality referre…
Conjectureopengroupoid-c-star-algebras length-functions quantum-metric-spacesarXiv posted 2 days ago
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Conjecture that the Podleś quantum sphere converges to the classical sphere
Let $S_q^2$ be the Podleś quantum sphere, equipped with the compact quantum metric space structure arising from the Dąbrowski–Sitarz spectral triple, and let $S^2$ be the classical…
Conjectureopengromov-hausdorff-convergence quantum-metric-spaces quantum-spheresarXiv posted 2 days ago
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Density conjecture for ergodic compact Lie group actions
Density conjecture. All such $C^*$ -algebras lie in the closure, for the Gromov–Hausdorff propinquity, of the class of these finite-dimensional $C^*$ -algebras.
Conjectureopenergodic-actions operator-algebras quantum-metric-spacesarXiv posted 2 days ago

BFSS conjecture on the matrix-theoretic limit of M-theory