ERGODIC EXTENSIONS OF ENDOMORPHISMS
ERGODIC EXTENSIONS OF ENDOMORPHISMS
We examine a class of ergodic transformations on a probability measure space $(X,{\it\mu})$ and show that they extend to representations of ${\mathcal{B}}(L^{2}(X,{\it\mu}))$ that are both implemented by a Cuntz family and ergodic. This class contains several known examples, which are unified in our work. During the analysis of the existence …