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Bitraces on Partial O * -Algebras

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  • G. O. S. Ekhaguere

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.

Suggested Citation

  • G. O. S. Ekhaguere, 2007. "Bitraces on Partial O * -Algebras," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-19, April.
    • Handle: RePEc:hin:jijmms:043013
    DOI: 10.1155/2007/43013
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