paper

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

arXiv:math/0001070

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.

13 pages, LaTeX2e