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Let $A$ with $d$ be a differential graded associative algebra ($DG$ algebra).

What is the definition of the Hochschild complex $C^*(A,A)$?

There should be a Hoshschild differential and a cup product, but I can't find the reference that specifies the formula. Does any one know?

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A formula appears here arxiv.org/pdf/math/0211229v1.pdf, probably a repeat question... – Daniel Pomerleano Aug 4 '12 at 18:36
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Or try this one: math.sciences.univnantes.fr/~hossein/Publications/…, page 4, since you also wanted a formula for cup product. Sign conventions often differ and it's important to have ones which are consistent. – Daniel Pomerleano Aug 4 '12 at 18:46
    
ctg.epfl.ch/files/content/sites/ctg/files/shared/Zhou/… mentions them – CSA Apr 6 '14 at 18:53
    
@DanielPomerleano Would you be able to fix the dead link in the second comment? Thanks. – Todd Trimble Apr 20 '15 at 18:44

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