The structure of twisted power partial isometries

Athul Augustine, P. Shankar

Let $n>1$ and let $\{U_{ij}{\}}_{1\le i<j\le n}$ be $\left(\genfrac{}{}{0ex}{}{n}{2}\right)$ commuting unitaries on a Hilbert space $\mathcal{H}$. Suppose $U_{ji}:=U_{ij}^{\ast }$, $1\le i<j\le n$. An n-tuple of…