Pure Semigroups of Isometries on Hilbert C*-Modules
  We show that pure strongly continuous semigroups of adjointable isometries on a Hilbert C*-module are standard right shifts. By counter examples, we illustrate that the analogy of this result with the classical result on Hilbert spaces by Sz.-Nagy, cannot be improved further to understand arbitrary isometry semigroups of isometries in the classical way. 
B.V.Rajarama Bhat, Michael Skeide
math.OA math.FA