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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Properties $\Gamma$ and $L$ for type $\textrm {II}_{1}$ factors


Author: Paul Willig
Journal: Proc. Amer. Math. Soc. 25 (1970), 836-837
MSC: Primary 46.65
DOI: https://doi.org/10.1090/S0002-9939-1970-0259630-3
MathSciNet review: 0259630
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Abstract | References | Similar Articles | Additional Information

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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Keywords: Factor, type <!– MATH ${\operatorname {II} _1}$ –> <IMG WIDTH="30" HEIGHT="38" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="${\operatorname {II} _1}$">, property <IMG WIDTH="18" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="images/img2.gif" ALT="$\Gamma$">, property <IMG WIDTH="19" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="images/img12.gif" ALT="$L$">, central sequence
Article copyright: © Copyright 1970 American Mathematical Society