The spatial product of Arveson systems is intrinsic

Bhat, B.V. Rajarama ; Liebscher, Volkmar ; Mukherjee, Mithun ; Skeide, Michael (2011) The spatial product of Arveson systems is intrinsic Journal of Functional Analysis, 260 (2). pp. 566-573. ISSN 0022-1236

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Official URL: http://doi.org/10.1016/j.jfa.2010.09.001

Related URL: http://dx.doi.org/10.1016/j.jfa.2010.09.001

Abstract

We prove that the spatial product of two spatial Arveson systems is independent of the choice of the reference units. This also answers the same question for the minimal dilation of the Powers sum of two spatial CP-semigroups: It is independent up to cocycle conjugacy.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Continuous product systems of Hilbert spaces; Spatial; semigroups
ID Code:133692
Deposited On:30 Dec 2022 03:51
Last Modified:30 Dec 2022 03:51

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