Centrally determined states on von Neumann algebras
Mathematica Bohemica (1992)
- Volume: 117, Issue: 2, page 195-196
- ISSN: 0862-7959
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topHamhalter, Jan. "Centrally determined states on von Neumann algebras." Mathematica Bohemica 117.2 (1992): 195-196. <http://eudml.org/doc/29061>.
@article{Hamhalter1992,
abstract = {It is shown that every von Neumann algebra whose centre determines the state space is already abelian.},
author = {Hamhalter, Jan},
journal = {Mathematica Bohemica},
keywords = {von Neumann algebra; centrally determined state space; state space of operator algebras; noncommutative Radon-Nikodym theorem; von Neumann algebra; centrally determined state space},
language = {eng},
number = {2},
pages = {195-196},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Centrally determined states on von Neumann algebras},
url = {http://eudml.org/doc/29061},
volume = {117},
year = {1992},
}
TY - JOUR
AU - Hamhalter, Jan
TI - Centrally determined states on von Neumann algebras
JO - Mathematica Bohemica
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 117
IS - 2
SP - 195
EP - 196
AB - It is shown that every von Neumann algebra whose centre determines the state space is already abelian.
LA - eng
KW - von Neumann algebra; centrally determined state space; state space of operator algebras; noncommutative Radon-Nikodym theorem; von Neumann algebra; centrally determined state space
UR - http://eudml.org/doc/29061
ER -
References
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- M. Navara P. Pták, On the Radon-Nikodym property in quantum logics, Proceedings of the Conference Topology and Measure VI, Wardeminde, 1991, to appear. (1991) MR1226290
- Proceedings of the 2nd Winter School on Measure Theory, Liptovský Ján, January 1990. (1990)
- S. Sakai, 10.1090/S0002-9904-1965-11265-4, Bull. Amer. Math. Soc. 71 (1965), 149-151. (1965) MR0174992DOI10.1090/S0002-9904-1965-11265-4
- V. Varadarajan, Geometry of Quantum Theory I, Van Nostrand, Princeton, New Jersey, 1968. (1968) MR0471674
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