Non-isomorphic product systems
"Non-isomorphic product systems."
In: Advances in Quantum Dynamics (eds. G. Price et al), Contemporary Mathematics 335, AMS, pp. 273--328 (2003).
Available online (free of charge) from e-print archive (USA):
or its Israeli mirror:
A research paper, 70 pages, bibl. 16 refs.
Uncountably many mutually non-isomorphic product systems (that is, continuous tensor products of Hilbert spaces) of types II0 and III are constructed by probabilistic means (random sets and off-white noises), answering four questions of W. Arveson. Results of math.FA/0001070, math.FA/0006165 are improved, and proofs are more readable.
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