About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Hamhalter, Jan
Centrally determined states on von Neumann algebras. (English). Mathematica Bohemica, vol. 117 (1992), issue 2, pp. 195-196
MSC: 46L10, 46L30, 46L50, 46L51, 46L53, 46L54 | MR 1165896 | Zbl 0778.46042 | DOI: 10.21136/MB.1992.125907
Keywords:
von Neumann algebra; centrally determined state space; state space of operator algebras; noncommutative Radon-Nikodym theorem
Summary:
It is shown that every von Neumann algebra whose centre determines the state space is already abelian.
References:
[1] R. V. Kadison J. R. Ringrose: Fundamentals of the Theory of Operator Algebras. Academic Press, 1986. MR 0859186
[2] M. Navara: Stavový Prostor Kvantových Logik. Ph.d. thesis, Prague, 1987.
[3] M. Navara P. Pták: On the Radon-Nikodym property in quantum logics. Proceedings of the Conference Topology and Measure VI, Wardeminde, 1991, to appear. MR 1226290
[4] Proceedings of the 2nd Winter School on Measure Theory. Liptovský Ján, January 1990.
[5] S. Sakai: A Radon-Nikodym theorem in W*-algebras. Bull. Amer. Math. Soc. 71 (1965), 149-151. DOI 10.1090/S0002-9904-1965-11265-4 | MR 0174992
[6] V. Varadarajan: Geometry of Quantum Theory I. Van Nostrand, Princeton, New Jersey, 1968. MR 0471674
Partner of
EuDML logo