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From random sets to continuous tensor products: answers to three questions of W. Arveson

Boris Tsirelson
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Abstract

The set of zeros of a Brownian motion gives rise to a product system in the sense of William Arveson (that is, a continuous tensor product system of Hilbert spaces). Replacing the Brownian motion with a Bessel process we get a continuum of non-isomorphic product systems.

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Boris Tsirelson. 2000-01-12. From random sets to continuous tensor products: answers to three questions of W. Arveson. https://arxiv.org/abs/math/0001070

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