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On semifinite AW*-algebras

Published online by Cambridge University Press:  24 October 2008

J. D. Maitland Wright
J. D. Maitland Wright
Affiliation:
Department of Mathematics, University of Reading
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Extract

Kaplansky (8, 9, 10) introduced the concept of an AW*-algebra and, by purely algebraic methods, succeeded in extending the ‘Type Theory’ of Murray and von Neumann from W*-algebras to these more general algebras. Every W*-algebra is an AW*-algebra but the converse is false, for there exist commutative AW*-algebras which are not W*-algebras.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 79 , Issue 3 , May 1976 , pp. 443 - 445
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

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