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Results tagged with von-neumann-algebras
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user 46855
Subtag of the [oa.operator-algebras] tag for questions about von Neumann algebras, that is, weak operator topology closed, unital, *-subalgebras of bounded operators on a Hilbert space.
6
votes
Which sigma-ideals in a sigma-algebra are ideals of null sets?
Your question has already been excellently answered from two points of view:
(a) looking at the quotient $\sigma$-algebra (measurable sets modulo null sets): when is it a measure algebra? [Joseph Va …
- 2,213
2
votes
Projections in a W*-algebra as a continuous lattice?
The already given answer and comments have essentially solved the problem; however I
will show the way the question can be studied from the point of view of
"classical" lattice theory (say, the times …
- 2,213
7
votes
Type III factor representation
A characterization of projection ortholattices of von Neumann algebras (and more generally JBW algebras) with no type I$_2$ component was given by Bunce and J.D.M. Wright in two papers: [1] and [2] (f …
- 2,213