We define and study equivariant analytic and local cyclic homology for smooth
actions of totally disconnected groups on bornological algebras. Our approach
contains equivariant entire cyclic cohomology in the sense of Klimek, Kondracki
and Lesniewski as a special case and provides an equivariant extension of the
local cyclic theory developped by Puschnigg. As a main result we construct a
multiplicative Chern-Connes character for equivariant KK-theory with values in
equivariant local cyclic homology.Comment: 38 page