Conditional expectations onto maximal abelian *-subalgebras

Details Conditional expectations onto maximal abelian *-subalgebras Conditional expectations onto maximal abelian *-subalgebras

2009-06-10

arxiv.org/abs/0906.1831v2

Mathematics

Operator Algebras

8 pages; a remark was corrected

Scientific paper

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.

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