Non-Cocycle-Conjugate E-Semigroups on Factors
Oliver T. Margetts
Lancaster University, UKR. Srinivasan
Chennai Mathematical Institute, Siruseri, India
![Non-Cocycle-Conjugate E$_0$-Semigroups on Factors cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-53-issue-2.png&w=3840&q=90)
Abstract
We investigate E-semigroups on general factors, which are not necessarily of type I or II. We show several families on the hyperfinite II factor, which arises as tensor products, consists of mutually non-cocycle-conjugate E-semigroups. Using CCR representations associated with quasi-free states, we exhibit, for the first time, uncountable families consisting of mutually non-cocycle-conjugate E-semigroups on all type III factors, for . They are not cocycle conjugate to the E-semigroups constructed using CAR representations.
Cite this article
Oliver T. Margetts, R. Srinivasan, Non-Cocycle-Conjugate E-Semigroups on Factors. Publ. Res. Inst. Math. Sci. 53 (2017), no. 2, pp. 299–336
DOI 10.4171/PRIMS/53-2-4