3 problems

Reciprocal-polynomial realization conjecture. Any reciprocal polynomial having negative roots and leading coefficient equal to $1$ should have the form $P_\Lambda(t)$ for some even…

Higher-dimensional non-equivalence conjecture. By making similar changes to the maps $\Psi_{ij}$, one can create non-equivalent quantum spaces for $N>1$.

Let $C({\mathbb P}^N(\mathcal{T}))$ be the C-algebra constructed from the Toeplitz algebra $\mathcal{T}$ using the canonical projections and gluing maps $\Psi_{ij}$, with $N>1$. Fo…