all nontrivial elements in higher $k$-groups of toric varieties over a class of regular rings are annihilated by iterations of the natural frobenius type endomorphisms. this is a higher analog of the triviality of vector bundles on affine toric varieties. in the talk i will assume no $k$-theoretical background and no familiarity with toric varieties. the main $k$-theoretical concepts will be presented in an informal and completely accessible way, without giving a single formal definition.