Abstract
We define a ℤ3-kernel α on [Formula: see text] and a ℤ3-kernel β on the hyperfinite II1factor R, which have conjugate obstruction to lifting. Hence, α⊗β can be perturbed by an inner automorphism to produce an action γ on [Formula: see text]. The aim of this paper is to show that the factor [Formula: see text], which is similar to Connes's example of a II1factor non-antiisomorphic to itself, is the enveloping algebra of an inclusion of II1factors A⊂B. Here A is an interpolated free group factor and B is isomorphic to the crossed product A⋊θℤ9, where θ is a ℤ3-kernel of A with non-trivial obstruction to lifting. By using an argument due to Connes, which involves the invariant χ(ℳ), we show that ℳ is not anti-isomorphic to itself. Furthermore, we prove that for one of the generator of χ(ℳ), which we will denote by σ, the Jones invariant ϰ(σ) is equal to [Formula: see text].
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.
