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nLab > Latest Changes: C-star-algebra

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 11th 2021

    changed “involution” to “anti-involution”

    diff, v61, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJul 3rd 2023

    after the example of C 0(X)C_0(X) I added (here) a brief remark on the sub-algebra of compactly supported functions

    diff, v62, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJul 8th 2023

    added (here) the statement of the partial order on hermitian elements and the notion of positive elements.

    diff, v64, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJan 14th 2024

    added pointer to:

    diff, v67, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJul 27th 2024
    • (edited Jul 27th 2024)

    added pointer to:

    diff, v70, current

    • CommentRowNumber6.
    • CommentAuthorzskoda
    • CommentTimeJul 29th 2024
    Warner 2010. is the date of the file scan in the repository, however I do not believe that this typing of the kind from around 1980. has been done in 2010. It looks like much much older lecture notes.
    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJul 29th 2024
    • (edited Jul 29th 2024)

    These texts by Warner are quite remarkable in several aspects. I wish I had taken note of them much earlier.

    On the dating we have to go by what the author chooses to declare as the end of the article’s gestation period.

    The typewriter-script is indeed remarkable and somewhat puzzling, but the manuscripts contain remarks which were manifestly typed after 2000:

    • The abstract of his "Categorical Homotopy Theory" says that: "This book is an account of certain developments in categorical homotopy theory that have taken place since the year 2000." and the article cites, among others, Lurie 2009.

    • The introduction of his "Homotopy Topos Theory" contains an "editorial note" praising Cisinski’s thesis (from 2002).

    • The list of references in his "Mathematical Aspects of General Relativity" includes items dated up to 2005.

    • The list of references in his "Positivity" includes items dated up to 2007.

    • The list of references in his Lagrangian Mechanics includes items dated up to 2008.

    • The list of references in his "C *C^\ast-algebras" ends with a couple of citations of his other manuscripts with dates given as 2008 and 2010.

    All this in 80s style typewriter font & resolution.

    • CommentRowNumber8.
    • CommentAuthorzskoda
    • CommentTimeJul 29th 2024
    Thank you for your research.
    • CommentRowNumber9.
    • CommentAuthorRodMcGuire
    • CommentTimeJul 29th 2024
    • (edited Jul 29th 2024)

    The typewriter-script is indeed remarkable and somewhat puzzling, but the manuscripts contain remarks which were manifestly typed after 2000

    I would guess that in the 1970s-1980s Warner adopted nroff/troff for math typesetting and never advanced to LaTeX because the old was good enough for him and and doing so meant he wouldn’t be able to copy and paste from his large corpus of math source code (and maybe he went overboard writing a large collection of nroff macros).

    In his book Sets and Classes: Operational Theory recently added to arXiv he thanks someone for translating his manuscript into LaTeX. He gives no indication of when that book was written and it is hard to look for the referenced work with the latest date because one of the book’s peculiarities is that all references appear as page footnotes and there is no reference list.

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeJul 30th 2024

    Interesting, that sounds like a possibility. Also, I see from online discussion that troff-to-pdf conversion is not immediate, so maybe what we are seeing are still scans of hard-copy printouts after all.

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeJul 30th 2024

    For what it’s worth, there is no citation in Sets and Classes dated after 1981 (as shown by search for the strings “198” and “199” and “20”).

    • CommentRowNumber12.
    • CommentAuthorRodMcGuire
    • CommentTimeJul 30th 2024
    • (edited Jul 30th 2024)

    so maybe what we are seeing are still scans of hard-copy printouts after all

    I opened up "C *C^\ast-algebras" in Adobe Acrobat and looked at the PDF properties (cntrl-d). It says

    Creator: Xerox DocuMate 262

    Producer: iLovePDF

    CreationDate: Mon Nov 15 23:31:11 2010 CET

    “Xerox DocuMate 262” is an OCR scanner.

    // but how did it get scanned in CET (Central European Time)?

    • CommentRowNumber13.
    • CommentAuthorUrs
    • CommentTimeJul 30th 2024

    Since “ilovepdf.com” is an online pdf tool, I’d guess that CET is the server’s time zone. Which fits the time stamp 23:30 CET, corresponding to around noon in Washington state.

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

    Anonymouse

    diff, v72, current

  15. self-adjoint elements form a real vector space

    Martin Brandenburg

    diff, v73, current

1 to 15 of 15

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