Cohomology of von Neumann Algebras
by
Roger Smith
Texas A&M University
Coauthors: Allan Sinclair (University of Edinburgh)

In this talk we will discuss some recent progress on the determination of the cohomology groups of von Neumann factors. In particular we show

Theorem. If M is a subfactor of N of finite index on a separable Hilbert space and M has a Cartan subalgebra, then the cohomology groups Hⁿ(M, N) all vanish for n > 0.

This extends previous work on the case M=N.

http://www.math.tamu.edu/~rsmith

Date received: April 29, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacw-42.