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nLab > Latest Changes: von Neumann algebra factor

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeDec 15th 2010
    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeDec 15th 2010
    • (edited Dec 15th 2010)

    I think it will be difficult to find this entry. I mean if I want an entry about factors I will hardly type specific phrase von Neumann algebra factor. On the other hand having factor means having many meanings of the word. Should we have a disambiguation page for factor or what ?

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 15th 2010

    I created factor

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeApr 24th 2013
    • (edited Apr 24th 2013)

    added a pointer at von Neumann algebra factor to the recent

    • Vaughan Jones, Scott Morrison, Noah Snyder, The classification of subfactors of index at most 5 (arXiv:1304.6141)

    With a little luck somebody will feel insoired to add a bit of content to that entry (or better yet, creae a dedicated one on subfactors)…

    • CommentRowNumber5.
    • CommentAuthorzskoda
    • CommentTimeApr 24th 2013

    Urs, 3

    factor in a product;

    von Neumann algebra factor

    To some extent, the second is a special case of the first, when one writes an operator algebra by direct integrals, am I right ?

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeApr 24th 2013
    • (edited Apr 24th 2013)

    I guess something like this is where the terminology comes from. The answer is probably in

    • John von Neumann, On rings of operators, reduction theory, Annals of Mathematics Second Series, Vol. 50, No. 2 (1949) (jstor)
    • CommentRowNumber7.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJan 30th 2019

    Added the definitions of type I, type II_1, type II_∞, type III_0, type III_1, and type III_λ factors.

    diff, v9, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeFeb 11th 2023

    added pointer to this week’s

    diff, v12, current

1 to 8 of 8

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