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Title: Completely bounded operators on von Neumann algebras
Author: Chatterjee, Avijit
Awarding Body: University of Edinburgh
Current Institution: University of Edinburgh
Date of Award: 1991
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In this thesis are presented extensions to the theory of completely bounded operators and their relation to the Haagerup tensor product. The canonical map from the Haagerup tensor product of a von Neumann algebra with itself to the space of completely bounded operators on it is considered. A trace-like map on the space of completely bounded operators on the hyperfinite type II1 factor is constructed and is shown to yield an estimate for the Jones index when applied to a conditional expectation.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available