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nLab > Latest Changes: Jordan-Lie-Banach algebra

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJul 5th 2011

    created stub for Jordan-Lie-Banach algebra

    • CommentRowNumber2.
    • CommentAuthorTobyBartels
    • CommentTimeOct 13th 2013

    I added a definition from the top reference. I modified it to use only r=1r = 1 in the associator identity; I can't tell what good it does to allow other values of rr, and in any case, the construction of a JLB-algebra from a C *C^*-algebra (which is supposed to be an equivalent notion!) always produces r=1r = 1.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeOct 13th 2013

    Thanks!

    I have also cross-linked that entry now with order-theoretic structure in quantum mechanics.

    • CommentRowNumber4.
    • CommentAuthorTobyBartels
    • CommentTimeAug 8th 2020

    Explain what Halvorson's rr is doing.

    diff, v12, current

    • CommentRowNumber5.
    • CommentAuthorTobyBartels
    • CommentTimeOct 1st 2020
    • (edited Oct 1st 2020)

    What I had for the norm on A+iAA + \mathrm{i}A was wrong, and it was really hard to figure out how to define it from the norm on AA. In general, it may not be possible. But we really care about the C *C^*-case, and there the norm is defined by the algebraic structure, so let's just punt on it.

    diff, v19, current

    ETA: If you want to look at the diff, then also look at the previous diff, which actually has most of what I changed today.

  6. changed higher algebra - contents to algebra - contents in context sidebar

    Anonymouse

    diff, v23, current

1 to 6 of 6

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