Separating Projections and Jones Index
by
Xiong Liu
University of Pennsylvania
Coauthors: Richard Kadison

We continue the study of separating projections for C^*-subalgebras of a von Neumann algebra begun in [Kadison, On representations of finite type, Proc. Nat. Acad. Sci., Nov. 1998] and show its relation to Jones index. We settle a question raised there concerning the existence of a C^*-subalgebra of a factor of type II₁ without proper separating projections.

Date received: May 12, 1999