ИСТИНА

The study of the structure and counting of Reidemeister classes (twisted conjugacy classes) of an automorphism f:G->G, i.e. classes of equivalence x~gxf(g^{-1}) is closely related to the study the twisted inner representation of a discrete group G, i.e. a representation on \ell^2(G)corresponding to the action x->gxf(g^{-1})of G on itself. We study here twisted inner representations from a more general point of view, but the questions under consideration are still close to the important relations to Reidemeister classes. (Joint work with Alexander Fel'shtyn and Nikita Luchnikov).