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April 2019 Cohomology for spatial superproduct systems
Oliver T. Margetts, R. Srinivasan
Kyoto J. Math. 59(1): 53-75 (April 2019). DOI: 10.1215/21562261-2018-0002

Abstract

We introduce a cohomology theory for spatial superproduct systems and compute the 2-cocycles for some basic examples called Clifford superproduct systems, thereby distinguishing them up to isomorphism. This consequently proves that a family of E0-semigroups on type III factors, which we call CAR flows, are noncocycle-conjugate for different ranks. Similar results follow for the even CAR flows as well. We also compute the automorphism group of the Clifford superproduct systems.

Citation

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Oliver T. Margetts. R. Srinivasan. "Cohomology for spatial superproduct systems." Kyoto J. Math. 59 (1) 53 - 75, April 2019. https://doi.org/10.1215/21562261-2018-0002

Information

Received: 2 August 2016; Revised: 26 December 2016; Accepted: 28 December 2016; Published: April 2019
First available in Project Euclid: 23 August 2018

zbMATH: 07081622
MathSciNet: MR3934623
Digital Object Identifier: 10.1215/21562261-2018-0002

Subjects:
Primary: 46L55
Secondary: 46C99, 46L40, 46L53

Rights: Copyright © 2019 Kyoto University

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Vol.59 • No. 1 • April 2019
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