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August 2019 Noncommutative Holomorphic Semicocycles
Mark Elin, Fiana Jacobzon, Guy Katriel
Michigan Math. J. 68(3): 505-526 (August 2019). DOI: 10.1307/mmj/1557302432

Abstract

In this paper, we study holomorphic semicocycles over semigroups in the unit disk, which take values in an arbitrary unital Banach algebra. We prove that every such semicocycle is the solution to a corresponding evolution problem. We then investigate the linearization problem: which semicocycles are cohomologous to constant semicocycles? In contrast with the case of commutative semicocycles, in the noncommutative case nonlinearizable semicocycles are shown to exist. We derive simple conditions for linearizability and show that they are sharp.

Citation

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Mark Elin. Fiana Jacobzon. Guy Katriel. "Noncommutative Holomorphic Semicocycles." Michigan Math. J. 68 (3) 505 - 526, August 2019. https://doi.org/10.1307/mmj/1557302432

Information

Received: 24 July 2017; Revised: 12 April 2018; Published: August 2019
First available in Project Euclid: 8 May 2019

zbMATH: 07130697
MathSciNet: MR3990169
Digital Object Identifier: 10.1307/mmj/1557302432

Subjects:
Primary: 37A20, 37L05, 47H20

Rights: Copyright © 2019 The University of Michigan

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Vol.68 • No. 3 • August 2019
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