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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMar 23rd 2010

    added details to Hochschild-Kostant-Rosenberg theorem

    added the same to Hochschild cohomology

    • CommentRowNumber2.
    • CommentAuthorJon Beardsley
    • CommentTimeApr 8th 2014

    I added a section on McCarthy and Minasian’s generalization of the HKR theorem to the setting of ring spectra.

    • CommentRowNumber3.
    • CommentAuthorTim_Porter
    • CommentTimeApr 8th 2014
    • (edited Apr 8th 2014)

    The first sentence

    The Hochschild-Kostant-Rosenberg theorem identifies the Hochschild homology and -cohomology of certain algebras with Kähler differentials and derivations, respectively.

    reads as if something was missing. (This may be more an impression than a fact, but …)

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeApr 8th 2014

    Jon,

    thanks!! Excellent that you added this.

    I have just done some editorial work on your addition, adding more formatting and more hyperlinks. Please check here that I didn’t mess up something.

    \,

    Tim,

    I have added the word “their” to the first sentence. Does that help?

    • CommentRowNumber5.
    • CommentAuthorTodd_Trimble
    • CommentTimeApr 8th 2014

    I have a feeling that Tim means a few more words like “modules of”. Acting on an instinct, I put them in, but obviously this action could be reversed if it is wrong.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeApr 8th 2014

    Cartainly not wrong! That’s after all what it says right below in the Proposition (and of course it’s a classical textbook fact, too).

    • CommentRowNumber7.
    • CommentAuthorTim_Porter
    • CommentTimeApr 8th 2014

    Actually it was the ‘-cohomology’ that threw me. Rereading it I now understand that what is intended was Hocchschild-cohomology. (There was not a - on the homology and that confused me. I will delete the - as it does not help.)

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