Department of Mathematics, The Chinese University of Hong Kong, Hong Kong ; School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, People's Republic of China
Abstract:
Suppose that is a -dynamical system such that is of polynomial growth. If is finite dimensional, we show that any element in has slow growth and that is -regular. Furthermore, if is discrete and is a ``nice representation' of , we define a new Banach -algebra which coincides with when is finite dimensional. We also show that any element in has slow growth and is -regular.