Abstract
We give an explicit formula for the time projection in an arbitrary von Neumann algebra from which all its basic properties can be easily derived. The analysis of the situation when this time projection is a conditional expectation is also performed.
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References
Barnett, C. and Lyons, T. (1986). Stopping non-commutative processes. Mathematical Proceedings of the Cambridge Philosophical Socety 99, 151–161.
Barnett, C. and Thakrar, B. (1987). Time projections in a von Neumann algebra. Journal of Operator Theory 10, 19–31.
Barnett, C. and Thakrar, B. (1990). A non-commutative random stopping theorem, Journal of Functional Analysis 88, 342–350.
Barnett, C. and Wilde, I. F. (1990). Random times and time projections. Proceedings of the American Mathematical Society 110, 425–440.
Stratila, S. (1981). Modular Theory in Operator Algebras, Editura Academiei, Bucuresti and Abacus, Tunbridge Wells.
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Łuczak, A. Structure of the Time Projection for Stopping Times in von Neumann Algebras. Int J Theor Phys 44, 909–917 (2005). https://doi.org/10.1007/s10773-005-7068-5
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DOI: https://doi.org/10.1007/s10773-005-7068-5