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Examples of Multiparameter CCR flows with non-trivial index

2021/08/11 by Sarkar, Piyasa, Sundar, S.
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2108.04999

Abstract

In this paper, we construct uncountably many examples of multiparameter CCR flows, which are not pullbacks of 1-parameter CCR flows, with index one. Moreover, the constructed CCR flows are type I in the sense that the associated product system is the smallest subsystem containing its units.

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