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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 15th 2021

    for completeness, to go with U(ℋ), for the moment mainly in order to record references, such as:

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 19th 2021
    • (edited Sep 19th 2021)

    added the statement that PU()PU(\mathcal{H}) is well-pointed, which is made explicit on p. 23 of

    but follows by a more general result due to Dardalat and Pennig.

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 19th 2021
    • (edited Sep 19th 2021)

    added statement that S 1U()PU()S^1 \to \mathrm{U}(\mathcal{H}) \to PU(\mathcal{H}) is a fiber bundle. Am copying this statement also to U(H) and to coset space coprojection admitting local sections

    diff, v5, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 30th 2021

    added pointer to:

    • Ellen Maycock Parker, The Brauer Group of Graded Continuous Trace C *C^\ast-Algebras, Transactions of the American Mathematical Society 308 1 (1988) (jstor:2000953)

    diff, v6, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeDec 13th 2021

    for the graded version of PU()PU(\mathcal{H}) I have added pointer also to

    diff, v7, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeDec 13th 2021

    These authors also point (in addition to the reference in #4) to

    • E. Parker, Graded continuous trace C *C^\ast-algebras and duality, Operator algebras and topology (Craiova, 1989), 130–145, Pitman Res. Notes Math. Ser., 270.

    but I haven’t yet found any online trace of this article/book (I find the 1983 version of the series, but not the one from 1989).