Jump transformations and an embedding of ${\mathcal{O}}_{\infty }$ into ${\mathcal{O}}_2$

Katsunori Kawamura, Dan Lascu, Ion Coltescu

A measurable map $T$ on a measure space induces a representation ${\Pi }_T$ of a Cuntz algebra ${\mathcal{O}}_N$ when $T$ satisfies a certain condition. For such two maps $\tau$ and $\sigma$ and…