Tate cohomology of special norm modules related to Henselian division algebras
For central division algebras D over Henselian fields K with unitary K/k-involutions the Tate cohomology groups of Z/(2)-modules A = Nz/к (NrdD (D*)), where K, D are the residue algebras of K and D, respectively, Z is the center of D, and Nz<sub>/</sub>к is the norm map from Z to K, are computed. Moreover, D is assumed to be tamely ramified K-algebra and a field k belongs either to the class of C<sub>1</sub>-fields, or to the class of totally imaginary global fields.