Abstract
The σ-weakly closed bimodules of nest subalgebras of σ-finite factor von Neumann algebras are characterized and structurally analysed. This generalizes work accomplished earlier by Erdos and Power for the case in which the factor is B(H). In the general case many more such bimodules exist than are given by a straightforward extension of the B(H) theory. New techniques are developed for this, including use of a partial coordinate system for bimodules, and a structural analysis of a certain boundary subspace affiliated with a lattice homomorphism of a nest.
This research was partially supported by grants from the National Science Foundation.
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Dedicated to the memory of Constantin Apostol
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© 1988 Springer Basel AG
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Larson, D.R., Solel, B. (1988). Bimodules of Nest Subalgebras of von Neumann Algebras. In: Gohberg, I. (eds) Topics in Operator Theory. Operator Theory: Advances and Applications, vol 32. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5475-7_10
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DOI: https://doi.org/10.1007/978-3-0348-5475-7_10
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5477-1
Online ISBN: 978-3-0348-5475-7
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