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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 7th 2021

    added some indication of the actual construction, below the statement of the theorem.

    (This might deserve to be re-organized entirely, but I don’t have energy for this now.)

    diff, v23, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 7th 2021
    • (edited May 7th 2021)

    added a bunch of textbook references:

    diff, v23, current

  1. Create link request and reference to yet-to-be-created nLab page

    Tom Mainiero

    diff, v24, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMay 8th 2022

    Namely you added a link to Functorial Aspects of the GNS Representation (with its own nForum thread now here).

    It’s not clear to me yet that this deserves a separate entry. It looks a lot like material for a subsection.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJan 13th 2024

    This entry used to refer to “Ghez, Lima and Roberts” without more details. I have added pointer to:

    diff, v28, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJan 14th 2024

    I have expanded the proof of the standard GNS construction (here), making explicit the use(s) of the Cauchy-Schwarz inequality.

    Also I added the assumption that the given state sends the star-involution to complex conjugation, which is needed to make the inner product on the resulting vector space be Hermitian.

    diff, v31, current