On noninjectivity of mixed q-deformed Araki–Woods von Neumann algebras

Panchugopal Bikram; Rahul Kumar; Kunal Mukherjee

doi:10.1215/21562261-2023-0021

May 2024 On noninjectivity of mixed q-deformed Araki–Woods von Neumann algebras

Panchugopal Bikram, Rahul Kumar, Kunal Mukherjee

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We discuss noninjectivity of mixed q-deformed Araki–Woods von Neumann algebras, extending the results in our previous work. These von Neumann algebras generalize those that were constructed by Hiai.

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Panchugopal Bikram. Rahul Kumar. Kunal Mukherjee. "On noninjectivity of mixed q-deformed Araki–Woods von Neumann algebras." Kyoto J. Math. 64 (2) 501 - 518, May 2024. https://doi.org/10.1215/21562261-2023-0021

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Received: 4 June 2021; Revised: 6 April 2022; Accepted: 9 August 2022; Published: May 2024

First available in Project Euclid: 15 March 2024

MathSciNet: MR4718486

Digital Object Identifier: 10.1215/21562261-2023-0021

Subjects:

Primary: 46L10

Secondary: 46C99 , 46L36 , 46L40 , 46L53 , 46L54

Keywords: noninjectivity , semidiscreteness , von Neumann algebras

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