3 problems

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The conjecture that Dehornoy handle-reduction improves rational normal-form estimates
A rational normal form is a normal form used to estimate the minimal length of elements in a braid group, and Dehornoy handle-reduction is a procedure for shortening such represent…
Conjectureopenbraid-groups garside-groups length-functionsarXiv 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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Commutator-vanishing conjecture for homogeneous conjugacy-invariant pseudo-lengths
Let $\langle \alpha, \beta \rangle=\langle \alpha,\beta\rangle$ be the free group on two generators. A homogeneous, conjugacy-invariant pseudo-length function $l$ on…
Conjectureopenfree-groups group-theory length-functionsarXiv posted 2 days ago

The conjecture that Dehornoy handle-reduction improves rational normal-form estimates