Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R. Haag, Lille conference 1957 "Les problèmes mathématiques de la theorie quantique des champs" CNRS, Paris 1959
R. Haag, D. Kastler, "An algebraic approach to quantum field theory" J. Math. Phys. 5 848 (1964)
H.J. Borchers, "A remark on a theorem of B. Misra" Commun. Math. phys. 4 (315) 1967
G. Simonelli, Tesi Università di Roma (unpublished)
H. Roos, "Statistical independence for local algebras" Commun. Math. Phys. 16 238 (1970)
S. Sakai, "C*-algebras and W*-algebras" Springer-Verlag Berlin 1971
C. D'Antoni, R. Longo, "Interpolation by type I factors and the flip automorphism" J. Funct. Anal. 51, 361 (1983)
H. Araki, "Positive cones..." Proceedings of the Int. School E. Fermi Course LX, D. Kastler ed., Soc. Italiana di Fisica, North Holland 1976
A. Connes, "Caracterisation des espaces vectoriels ordonnés sousjacents aux algebre de von Neumann" Ann. Inst. Fourier, Grenoble 24, 121 (1974)
S. Doplicher, R. Longo, "Local aspect of superselection rules II" Commun. Math. Phys. (1983)
S. Doplicher, R. Longo, "Standard and split inclusions of von Neumann algebras" Inventiones Mathematicae (to appear)
D. Buchholz, "Product states for local algebras" Commun. Math. Phys. 36, 287 (1974)
S. Summers, "Normal product states for fermions and twisted duality" Commun. Math. Phys. (1982)
C. D'Antoni, "Normal product states for local algebras" Research notes in Math. (1983) Pitman Ed. London
C. D'Antoni, K. Fredenhagen, "Charges in spacelike cones" preprint (1983)
M. Takesaki, "On the direct product of W*-factors" Tôhoku Math. J. 10, 116 (1958)
J. Frölich," Quantum theory of non linear invariant wave equations" in "Invariant wave equations", G. Velo, A.S. Wightman eds., Lecture notes in Physics 73, Springer Berlin 1978
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
D'Antoni, C. (1984). Statistical independence of local algebras. In: Accardi, L., Frigerio, A., Gorini, V. (eds) Quantum Probability and Applications to the Quantum Theory of Irreversible Processes. Lecture Notes in Mathematics, vol 1055. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071713
Download citation
DOI: https://doi.org/10.1007/BFb0071713
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12915-8
Online ISBN: 978-3-540-38798-5
eBook Packages: Springer Book Archive