Abstract
Assume that Δ and Π are representations of the group ℤ2 by operators on the space L 2(X, μ) that are induced by measure-preserving automorphisms, and for some d, the representations Δ⨂d and Π⨂d are conjugate to each other, Δ(ℤ2 \(0, 0)) consists of weakly mixing operators, and there is a weak limit (over some subsequence in ℤ2 of operators from Δ(ℤ2)) which is equal to a nontrivial, convex linear combination of elements of Δ(ℤ2) and of the projection onto constant functions. We prove that in this case, Δ and Π are also conjugate to each other.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
