Discrete spectral triples and their symmetries
  We classify 0-dimensional spectral triples over complex and real algebras and provide some general statements about their differential structure. We investigate also whether such spectral triples admit a symmetry arising from the Hopf algebra structure of the finite algebra. We discuss examples of commutative algebras and groups algebras. 
Mario Paschke, Andrzej Sitarz (Johannes-Gutenberg Universitaet Mainz)