Conditional expectations onto maximal abelian *-subalgebras
Operator Algebras
2009-06-11 v2 Functional Analysis
Abstract
We determine when there is a unique conditional expectation from a semifinite von Neumann algebra onto a singly-generated maximal abelian *-subalgebra. Our work extends the results of Kadison and Singer via new methods, notably the observation that a unique conditional expectation onto a singly-generated maximal abelian *-subalgebra must be normal.
Cite
@article{arxiv.0906.1831,
title = {Conditional expectations onto maximal abelian *-subalgebras},
author = {Charles A. Akemann and David Sherman},
journal= {arXiv preprint arXiv:0906.1831},
year = {2009}
}
Comments
8 pages; a remark was corrected