| Title:
|
Centrally determined states on von Neumann algebras (English) |
| Author:
|
Hamhalter, Jan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
2 |
| Year:
|
1992 |
| Pages:
|
195-196 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is shown that every von Neumann algebra whose centre determines the state space is already abelian. (English) |
| Keyword:
|
von Neumann algebra |
| Keyword:
|
centrally determined state space |
| Keyword:
|
state space of operator algebras |
| Keyword:
|
noncommutative Radon-Nikodym theorem |
| MSC:
|
46L10 |
| MSC:
|
46L30 |
| MSC:
|
46L50 |
| MSC:
|
46L51 |
| MSC:
|
46L53 |
| MSC:
|
46L54 |
| idZBL:
|
Zbl 0778.46042 |
| idMR:
|
MR1165896 |
| DOI:
|
10.21136/MB.1992.125907 |
| . |
| Date available:
|
2009-09-24T20:52:20Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125907 |
| . |
| Reference:
|
[1] R. V. Kadison J. R. Ringrose: Fundamentals of the Theory of Operator Algebras.Academic Press, 1986. MR 0859186 |
| Reference:
|
[2] M. Navara: Stavový Prostor Kvantových Logik.Ph.d. thesis, Prague, 1987. |
| Reference:
|
[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 |
| Reference:
|
[4] : Proceedings of the 2nd Winter School on Measure Theory.Liptovský Ján, January 1990. |
| Reference:
|
[5] S. Sakai: A Radon-Nikodym theorem in W*-algebras.Bull. Amer. Math. Soc. 71 (1965), 149-151. MR 0174992, 10.1090/S0002-9904-1965-11265-4 |
| Reference:
|
[6] V. Varadarajan: Geometry of Quantum Theory I.Van Nostrand, Princeton, New Jersey, 1968. MR 0471674 |
| . |
