Derivations of Group Algebras and Hochschild cohomology

Abstract

The Hochschild homology and cohomology group can be described in terms of the homology and cohomology of the classifying space of the groupoid of the adjoint action of the group under the suitable assumption of the finiteness of the supports of cohomology groups. The difference between homology and cohomology leads to a correction of the results in the book by D. J. Benson (1995),(1991).

arXiv comment12 pages, Talk at the conference on Partial Differential Equations and Applications in Memory of Professor B.Yu. Sternin, November 6-9, 2018, Moscow, Russia, removed extra references. Added arguments in section 2. Added Acknowledgments. Corrected formulas in homology