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nLab > Latest Changes: Milo Moses

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  1. This is a personal page for myself, as I was prompted to make after editing my first article.

    Milo Moses

    v1, current

    • CommentRowNumber2.
    • CommentAuthorJ-B Vienney
    • CommentTimeMay 7th 2023
    • (edited May 7th 2023)

    Maybe one could adapt what is done in Michael Barr, On duality of topological abelian groups to obtain a *-autonomous category which contains locally compact modules over a compact discrete valuation ring and extends Pontryagin duality.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 7th 2023

    Welcome!

    I have added the category:people-tag at the bottom of the page.

    diff, v2, current

    • CommentRowNumber4.
    • CommentAuthorMilo Moses
    • CommentTimeJul 17th 2023
    J-B Vienney : Michael Barr's paper was definitely one I read a lot while writing mine. I thought that it would be more useful to me than it ended up being. I think that making a *-autonomous category for modules over compact discrete valuation rings should be considerably easier than making one for locally compact abelian groups. That was the major upshot of my work with duality for modules over compact DVRs, really: everything works better. I don't think that this can really be considered "extending" Pontryagin duality though, since even after a lot of thinking I couldn't come up with a a-posteriori way of rederiving locally compact abelian group Pontryagin duality from the compact DVR case.

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