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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

Kadison, R. V. and Ringrose, J. R., Fundamentals of the Theory of Operator Algebras, Vol. II (Academic Press, New York, 1986).Google Scholar
Molnár, L., ‘General Mazur–Ulam type theorems and some applications’, in: Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics, Operator Theory: Advances and Applications (eds. W. Arendt, R. Chill and Y. Tomilov), 250 (2015), 311–342.Google Scholar
Pedersen, G. K., C ∗ -Algebras and their Automorphism Groups (Academic Press, London–New York–San Francisco, 1979).Google Scholar