Special weak limits and simple spectrum of the tensor products of flows

Abstract

An example of a measure-preserving flow for which the tensor product has simple spectrum for all is constructed. The construction of the flow uses asymptotically infinitesimal spacers and spacers obtained using results in finite field theory. For the spectral measure of a flow of this type, any nonorthogonal projection of the measure onto the diagonal in is a 1-1 mapping with respect to the measure . Bibliography: 12 titles.