00844nas a2200109   4500008004100000245005200041210005200093260002900145520049000174100001900664856005100683       2014                        en  d00aQuantum dimension and quantum projective spaces0 aQuantum dimension and quantum projective spaces  bInstitute of Mathematics3 aWe show that the family of spectral triples for quantum projective spaces introduced by D'Andrea and Dbrowski, which have spectral dimension equal to zero, can be reconsidered as modular spectral triples by taking into account the action of the element K2por its inverse. The spectral dimension computed in this sense coincides with the dimension of the classical projective spaces. The connection with the well known notion of quantum dimension of quantum group theory is pointed out.1 aMatassa, Marco  uhttp://urania.sissa.it/xmlui/handle/1963/34764