  In the present paper we investigate the question about the injectivity of the
map F(R) --> F(K) induced by the canonical inclusion of a local regular ring of
geometric type R to its field of fractions K for a homotopy invariant functor F
with transfers satisfying some additional properties. As an application we get
the original proof of Special Unitary Case of Grothendieck's conjecture about
principal homogeneous spaces and some other interesting examples.
