Let $A=\mathbb C[t_1,t_1^{-1},\ldots,t_n,t_n^{-1}]$ be the ring of Laurent polynomials in $n$ variables. I am looking for a projective resolution of $A$ as an $A$-bimodule that be as explicit as possible.
Thanks in advance.
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Finding resolutions of the canonical bimodule $A$ can be difficult. What have you tried? Did you do the $n=1$ case? What did you find there? – Pedro Oct 21 '20 at 23:08
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Note that if you want to compute Hochschild (co)homology, you can use that it behaves well with localisation! – Pedro Oct 31 '20 at 21:01