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added details to Hochschild-Kostant-Rosenberg theorem
added the same to Hochschild cohomology
I added a section on McCarthy and Minasian’s generalization of the HKR theorem to the setting of ring spectra.
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 …)
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.
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Tim,
I have added the word “their” to the first sentence. Does that help?
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.
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).
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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