Derived invariance of Hochschild-Mitchell (co)homology and one-point   extensions
  In this article we prove derived invariance of Hochschild-Mitchell homology and cohomology and we extend to $k$-linear categories a result by Barot and Lenzing concerning derived equivalences and one-point extensions.   We also prove the existence of a Happel long exact sequence and we give a generalization of this result which provides an alternative approach. 
Estanislao Herscovich and Andrea Solotar