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nLab > Latest Changes: C*-Categories

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    • CommentRowNumber1.
    • CommentAuthordavidoslive
    • CommentTimeFeb 25th 2014
    Made a modification to the definition related to positivity (which doesn't follow automatically in C*-categories, whereas it does for C*-algebras). Over the next few weeks I'll try and expand this section a bit, including some nicer formatting and the counter-example showing why the added condition is necessary.
    • CommentRowNumber2.
    • CommentAuthorTobyBartels
    • CommentTimeFeb 26th 2014

    Thanks! Handy link: C-star-category. (View Source to see how to do it.)

    • CommentRowNumber3.
    • CommentAuthorTom Mainiero
    • CommentTimeOct 8th 2022
    Wouldn't the currently displayed definition of C*-category be more like "unital" C*-category? I think we would need to drop the unit/left right unitors and all their associated conditions in the definition of enrichment to get non-unital things.
    On the other hand, this language would be fine for the definition of W*-categories (with the additional condition of having preduals for internal homs).

1 to 3 of 3

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