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Proceedings of the American Mathematical Society

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Properties $ \Gamma $ and $ L$ for type $ {\rm II}\sb{1}$ factors


Author: Paul Willig
Journal: Proc. Amer. Math. Soc. 25 (1970), 836-837
MSC: Primary 46.65
MathSciNet review: 0259630
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Abstract: Using the new concept of central sequences introduced by Dixmier and Lance, it is proved that for a type $ {\operatorname{II} _1}$ factor on a separable Hilbert space properties $ \Gamma $ and $ L$ are equivalent.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0259630-3
Keywords: Factor, type $ {\operatorname{II} _1}$, property $ \Gamma $, property $ L$, central sequence
Article copyright: © Copyright 1970 American Mathematical Society