  Topological insulators have been successfully identified by spin-resolved
photoemission but the spin polarization remained low (~20%). We show for Bi2Te3
that the in-gap surface state is much closer to full spin polarization with
measured values reaching 80% at the Fermi level. When hybridizing with the bulk
it remains highly spin polarized which may explain recent unusual quantum
interference results on Bi2Se3. The topological surface state shows a large
circular dichroism in the photoelectron angle distribution with an asymmetry of
~20% the sign of which corresponds to that of the measured spin.
