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The connection between the universal enveloping C*-algebra and the universal enveloping von Neumann algebra of a JW-algebra

Published online by Cambridge University Press:  24 October 2008

Fatmah B. Jamjoom
Fatmah B. Jamjoom
Affiliation:
Department of Mathematics, King Saud University, Riyadh, Saudi Arabia
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Abstract

This article aims to study the relationship between the universal enveloping C*-algebra C*(M) and the universal enveloping von Neumann algebra W*(M), when M is a JW-algebra. In our main result (Theorem 2·7) we show that C*(M) can be realized as the C*-subalgebra of W*(M) generated by M.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 3 , November 1992 , pp. 575 - 579
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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