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THE LOGARITHMIC FUNCTION AND TRACE ZERO ELEMENTS IN FINITE VON NEUMANN FACTORS

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  17 February 2016

LAJOS MOLNÁR
LAJOS MOLNÁR*
Affiliation:
Department of Analysis, Bolyai Institute, University of Szeged, H-6720 Szeged, Aradi vértanúk tere 1, Hungary MTA-DE ‘Lendület’ Functional Analysis Research Group, Institute of Mathematics, University of Debrecen, H-4010 Debrecen, PO Box 12, Hungary email molnarl@math.u-szeged.hu
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Abstract

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In this short note we present a common characterisation of the logarithmic function and the subspace of all trace zero elements in finite von Neumann factors.

Keywords

logarithmic functiontracevon Neumann factor of finite type

MSC classification

Primary: 46L10: General theory of von Neumann algebras
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 94 , Issue 2 , October 2016 , pp. 290 - 295
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

References

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Pedersen, G. K., C ∗ -Algebras and their Automorphism Groups (Academic Press, London–New York–San Francisco, 1979).Google Scholar