Non-Isomorphic Product Systems

2002/10/31 by Boris Tsirelson · 1 citation
Mathematics · #math.FA #math.OA #math.PR #msc:46L55 #msc:60A10 #msc:60G15 #msc:60G20 #msc:60G30

paper · pdf

published as Advances in Quantum Dynamics (eds G Price et al), Contemp Math 335, AMS, pp 273-328 (2003). · 70 pages. Small errors corrected, especially in 1.9, 2.3, 5.8 (formulations) and 13.6, 13.7 (proofs)

arxiv created 2003/04/11 · arxiv updated 2009/11/30

Abstract

Uncountably many mutually non-isomorphic product systems (that is, continuous tensor products of Hilbert spaces) of types II-0 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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• Reduced C^*-algebras of Product Systems -- an E₀-semigroup and a Groupoid perspective

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