Geodesic
Hochschild Cohomology of the Algebra of Smooth Functions on the Torus
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 3, pp. 435-452 Cet article a éte moissonné depuis la source Math-Net.Ru

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We calculate the Hochschild cohomology of the algebra of smooth functions on a finite-dimensional real torus with coefficients in the adjoint representation, generalizing the previously developed technique to the discrete case for this.
Keywords: Hochschild cohomology, adjoint representation, de Rham complex on an integer lattice. 
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     title = {Hochschild {Cohomology} of the {Algebra} of {Smooth} {Functions} on the {Torus}},
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V. V. Zharinov. Hochschild Cohomology of the Algebra of Smooth Functions on the Torus. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 3, pp. 435-452. http://geodesic.mathdoc.fr/item/TMF_2005_144_3_a0/

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