On the statistical independence of algebras of observables

Journal of Mathematical Physics

Volumn 38, Issue 3, 1997, Pages 1318-1328

  Florig, Martin ^a   Summers, Stephen J ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031502792     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531812     Document Type: Article

References (28)

1. M. J. Donald, "A priori probability and localized observers," Found. Phys. 22, 1111-1172 (1992).
2. J. Hudetz, "Topological entropy for appropriately approximated C*-algebras," J. Math. Phys. 35, 4303-4333 (1994).
3. M. Rédei, "Logically independent von Neumann lattices," Int. J. Theor. Phys. 34, 1711-1718 (1995).
4. S. J. Summers, "On the independence of local algebras in quantum field theory," Rev. Math. Phys. 2, 201-247 (1990).
5. H. Ekstein, "Presymmetry, II," Phys. Rev. 184, 1315-1337 (1969); Erratum, Phys. Rev. D 1, 1851 (1970).
6. H. Ekstein, "Presymmetry, II," Phys. Rev. 184, 1315-1337 (1969); Erratum, Phys. Rev. D 1, 1851 (1970).
7. K. Napiórkowski, "On the independence of local algebras," Rep. Math. Phys. 3, 33-35 (1972).
8. B. DeFacio and D. C. Taylor, "Commutativity and causal independence," Phys. Rev. D 8, 2729-2731 (1973).
9. P. Kruszynski and K. Napiórkowski, "On the independence of local algebras, II," Rep. Math. Phys. 4, 303-306 (1973).
10. B. DeFacio, "Causal independence in algebraic quantum field theory," Found. Phys. 5, 229-237 (1975).
11. E. B. Davies, Quantum Theory of Open Systems (Academic, New York, 1976).
12. P. Busch, M. Grabowski, and P. J. Lahti, Operational Quantum Physics (Springer, Berlin, 1995).
13. R. Haag and D. Kastler, "An algebraic approach to quantum field theory," J. Math. Phys. 5, 848-861 (1964).
14. H. Roos, "Independence of local algebras in quantum field theory," Commun. Math. Phys. 16, 238-246 (1970).
15. J. von Neumann, Collected Works (Pergamon, New York, 1961), Vol. 3.
16. T. Turumaru, "On the direct product of operator algebras, IV," Tôhoku Math. J. 8, 281-285 (1956).
17. R. V. Kadison and J. R. Ringrose, Fundamentals of the Theory of Operator Algebras, II (Academic, New York, 1986).
18. J. Dixmier, "Sur certains espaces considérés par M. H. Stone," Summa Brasiliensis Math. 151, 1-32 (1951).
19. R. V. Kadison, "The von Neumann algebra characterization theorems," Expos. Math. 3, 193-227 (1985).
20. M. Takesaki, "On the direct product of W*-factors," Tôhoku Math. J. 10, 116-119 (1958).
21. C. D'Antoni and R. Longo, "Interpolation by type I factors and the flip automorphism." J. Funct. Anal. 51, 361-371 (1983).
22. R. S. Doran and V. A. Belfi, Characterizations of C*-Algebras (Marcel Dekker, New York, 1986).
23. M. Takesaki, Theory of Operator Algebras, I (Springer-Verlag, New York, 1979).
24. O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics I (Springer-Verlag, Berlin, 1979).
25. K. Kraus, "General quantum field theories and strict locality," Z. Phys. 181, 1-12 (1964).
26. A. L. Licht, "Strict localization," J. Math. Phys. 4, 1443-1447 (1963).
27. S. J. Summers and R. Werner, "Maximal violation of Bell's inequalities is generic in quantum field theory," Commun. Math. Phys. 110, 247-259 (1987).
28. S. J. Summers and R. Werner, "Maximal violation of Bell's inequalities for algebras of observables in tangent spacetime regions," Ann. Inst. Henri Poincaré 49, 215-243 (1988).