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nLab > Latest Changes: commutative von Neumann algebra

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  1.  
    • CommentRowNumber1.
    • CommentAuthorDmitri Pavlov
    • CommentTimeApr 14th 2021

    Created a stub. Will be expanded eventually.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorDmitri Pavlov
    • CommentTimeApr 14th 2021

    Added a description of the duality and some references.

    diff, v2, current

  3. Added a reference by Dmitri, which should certainly be here.

    Tom Mainiero

    diff, v4, current

    • CommentRowNumber4.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 27th 2022

    Added:

    Properties

    From https://mathoverflow.net/questions/384346/is-the-opposite-category-of-commutative-von-neumann-algebras-a-topos/384357#384357:

    The opposite category of commutative von Neumann algebras is not a topos because categorical products with a fixed object do not always preserve small colimits. See Theorem 6.4 in Andre Kornell’s Quantum Collections.

    Closed monoidal structure

    The opposite category of commutative von Neumann algebras admits a noncartesian closed monoidal structure, where the monoidal product corresponds to the spatial product of measurable spaces.

    diff, v5, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 27th 2022

    added hyperlinks to various terms

    diff, v6, current

1 to 5 of 5

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