Abstract
We study 1-cohomology of discrete group actions on factors of type II1. Characterizations of Kazhdan’s property T and amenability for discrete groups in terms of cocycles and coboundaries are given, and we show that each of SL(n,Z), n ≥ 3, and Sp(n,Z), n ≥ 2, has a continuous family of mutually non-cocycle conjugate free actions on the AFD factor of type II1 as an application. We also introduce and compute entropy for discrete amenable group action on factors of type II1.
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.
