@article{AIHPA_1997__67_4_447_0, author = {Hamhalter, Jan}, title = {Statistical independence of operator algebras}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {67}, year = {1997}, pages = {447-462}, mrnumber = {1632248}, zbl = {0893.46048}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1997__67_4_447_0} }
Hamhalter, Jan. Statistical independence of operator algebras. Annales de l'I.H.P. Physique théorique, Tome 67 (1997) pp. 447-462. http://gdmltest.u-ga.fr/item/AIHPA_1997__67_4_447_0/
[1] Local quantum theory-I, in Local Quantum Theory, ed. R.Jost, Academic Press, New York, 1969, pp. 65-95.
,[2] Operatoralgebraic Methods in Quantum Field Theory, Akademie Verlag, Berlin, 1995. | MR 1353908 | Zbl 0839.46063
,[3] An introduction to fractal C*-algebras, Operator algebras and topology. Proceeding of the OATE 2 conference, Bucharest, Romania, 1989. Pitman Res. Notes Math. Ser. 270, pp. 1-29, 1992. | MR 1189177 | Zbl 0801.46064
and ,[4] C*-algebras of real rank zero, J. Funct. Anal., Vol. 99, 1991, No 1, pp. 131-149. | MR 1120918 | Zbl 0776.46026
and ,[5] D.KASTLER, An algebraic approach to quantum field theory, Journal of Mathematical Physics, Vol. 5, 1964, Num. 7, pp. 848-861. | MR 165864 | Zbl 0139.46003
and[6] Jordan Operator Algebras, Pitman Publishing, 1984. | MR 755003 | Zbl 0561.46031
and ,[7] Introduction to Algebraic Quantum Field Theory, Moskow, Nauka, 1989, (Russian).
,[8] On the tensor products of JC-algebras and JW-algebras, Ph.D. Thesis, University of Reading, 1990.
,[9] Foundations of Quantum Mechanics, Reeading, Mass., Addison-Wesley, 1968. | MR 218062 | Zbl 0166.23301
,[10] Fundamentals of the Theory of Operator Algebras I, II, Academic Press, 1983. | MR 719020 | Zbl 0518.46046
and ,[11] General quantum field theories and strict locality, Zeitschrift für Physik, Vol. 181, 1964, pp. 1-12. | MR 182341 | Zbl 0149.23804
,[12] The Mathematical Foundations of Quantum Mechanics, New York, Benjamin, 1963. | MR 155567 | Zbl 0114.44002
,[13] On rings of operators, Ann. Math., Vol. 37, pp. 116-229. | JFM 62.0449.03 | MR 1503275 | Zbl 0014.16101
and ,[14] C*-Algebras and their Authomorphism Groups, Academic Press, 1979. | MR 548006 | Zbl 0416.46043
,[15] The linear span of projections in simple C*-algebras, J. Operator Theory, Vol. 4, 1980, pp. 289-296. | MR 595417 | Zbl 0495.46040
,[16] States and composite systems in W*-algebraic quantum mechanics, Ph. D. Thesis, ETH, Zürich 1984.
,[17] Logical independence in quantum logic, Foundations of Physics, Vol. 25, 1995, pp. 411-415. | MR 1327850
,[18] Logically independent von Neumann lattices, Int. J. Theor. Phys., Vol. 34, No 8, pp. 1711-1718, 1995. | MR 1353716 | Zbl 0839.03043
,[19] Independence of local algebras in quantum field theory, Commun. Math. Phys., Vol. 16, 1970, pp. 238-246. | MR 266539 | Zbl 0197.26303
,[20] Einige Bemerkungen über projectionsoperatoren, Comm. Math. Phys., Vol. 13, 1969, pp. 216-225. | MR 250617 | Zbl 0179.58001
,[21] Postulates for general quantum mechanics, Ann. Math., Vol. 48, 1947, pp. 930-948. | MR 22652 | Zbl 0034.06602
,[22] Bell's inequalities and quantum field theory, Quantum probability and applications, V, (Heidelberg 1988), Lecture Notes in Mathematics, Vol. 1442, pp. 393-413. | MR 1091323 | Zbl 0708.60097
,[23] On the independence of local algebras in quantum field theory, Reviews in Mathematical Physics Vol. 2, 1990, pp. 201-247. | MR 1090281 | Zbl 0743.46079
,