Bitraces on Partial O * -Algebras

G. O. S. Ekhaguere

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-19

Abstract:

Unbounded bitraces on partial O * -algebras are considered, a class of ideals defined by them is exhibited, and several relationships between certain commutants, bicommutants, and tricommutants associated with the * -representations and * -antirepresentations determined by the bitraces are established. Moreover, a notion of a partial W * -algebra of unbounded densely defined linear maps on a Hilbert space, as a generalization of a W * -algebra, is introduced and a set of criteria for classifying such algebras by means of the type of bitraces that are defined on them is proposed.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:043013

DOI: 10.1155/2007/43013

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