3 problems

Let $(X,\f8\sigma)$ and $(Y,\f8\tau)$ be multivariable dynamical systems, and let ${\mathcal{A}}(X,\sigma)$ and ${\mathcal{A}}(Y,\tau)$ denote their tensor algebras. Piecewise conjug…

Contraction conjecture. The contraction $C_{13}$ induces an isomorphism

Let $T(\mathbb R^d)$ be the tensor algebra equipped with the left and right halfshuffle products, and let $\mathcal{I}(\mathbf{PL}^d_{\leq 2})$ denote the ideal associated with piec…