Relative Ends, l^2 Invariants and Property (T)

We establish a splitting theorem for one-ended groups H<g \tilde{e}(g;h)="" such="" that=""> 2 and the almost malnormal closure of H is a proper subgroup of G. This yields splitting theorems for groups G with non-trivial first l^2 Betti number (\beta^2_1(G)). We v...