Non-Isomorphic Product Systems
Functional Analysis
2007-05-23 v2 Operator Algebras
Probability
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.
Keywords
Cite
@article{arxiv.math/0210457,
title = {Non-Isomorphic Product Systems},
author = {Boris Tsirelson},
journal= {arXiv preprint arXiv:math/0210457},
year = {2007}
}
Comments
70 pages. Small errors corrected, especially in 1.9, 2.3, 5.8 (formulations) and 13.6, 13.7 (proofs)