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Journal of the London Mathematical Society 1986 s2-33(2):347-354; doi:10.1112/jlms/s2-33.2.347
© 1986 by London Mathematical Society
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© Oxford University Press

Boolean Valued Analysis Approach to the Trace Problem of Aw*-Algebras

Masanao Ozawa

Department of Mathematics, College of General Education, Nagoya University Chikusa-ku, Nagoya, Japan

It is shown that the concepts of AW*-algebras and their types are the same both in the ordinary universe and in Scott's and Solovay's Boolean valued universe of ZFC set theory. Using this transfer principle, it is proved that a finite AW*-algebra has a centre-valued trace if and only if its centre is the range of a faithful norm one projection.


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