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Organizers |
Normalizers of subfactors
by
Jan Cameron
Texas A&M University
It is sometimes of interest to describe the normalizer of a subalgebra B of a II_1 factor M, that is, to describe the group N_M(B) of unitaries in M that fix B under conjugation and the von Neumann algebra that the group generates. We present structure results for both the group N_M(B) and the associated von Neumann algebra for the case in which B is a subfactor. Inclusions arising from the crossed product, group von Neumann algebra, and tensor product constructions will also be discussed.
Date received: May 12, 2008
Copyright © 2008 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 # cawx-30.