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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 30th 2013

    I am starting an entry Poincaré duality algebra, but it still needs some attention

    • CommentRowNumber2.
    • CommentAuthorjim_stasheff
    • CommentTimeMay 30th 2013
    Why start with C^* algebras
    surely there are many other Poincaré duality algebras

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 30th 2013

    okay, I have added the definition For graded-commutative algebras.

    Let me know your favorite reference, and I’ll add it, too.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJul 7th 2013
    • (edited Jul 7th 2013)

    added to Poincare duality algebra

    • two more references on the C *C^\ast-case;

    • remarks highlighting that the C *C^\ast-case is about duality in K-theory as opposed to in ordinary cohomology;

    • a remark that for twisted groupoid convolution algebras the fact that the Poincaré duality is to the opposite algebra corresponds to keeping the same groupoid (up to equivalence) but inverting the twist

      (this is no hard to see, but if anyone knows a place where this is remarked in the literature, I’d be grateful for a pointer.)

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJul 8th 2013

    I have added at K-orientation and Umkehr maps discussion of push-forward in twisted K-theory.

    Essentially the same discussion I have (with slight editorial changes) also copied to

    Also added more related references to all these entries.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 16th 2013

    related discussion on MO here