Renaud, Peter Francis2015-10-182015-10-1819820110-537Xhttp://hdl.handle.net/10092/11228A generalization of the classical ergodic mixing theorem is given, valid for arbitrary topological semigroups. Conditions under which the tensor product of two representations has no fixed points are obtained and these yield simple necessary and sufficient conditions for the Cartesian product of two measure preserving transformations to be ergodic.enCopyright Peter Francis RenaudFields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490405 - Group theory and generalisationsFields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490412 - Topology