Noncommutative Spherical Tight Frames in finitely generated Hilbert C*-modules

Let A be a fixed C*-algebra. In an arbitrary finitely generated projective A-module V ⊆ An, a spherical tight A-frame is a set of of k, k > n, elements f1, . . . , fk such that the associated matrix F = [f1, . . . , fk] up-to a constant multiple is a partial isometry of the Hilbert structure on the projective finitely generated A-module V . The space FA k,n of all such A-frames form a C*-algebra, generated by a system of partial isometries and the structure of such C*-algebras are well described, especially in the case A = R or C: The main result of K. Dykema and N. Strawn for these cases are generalized to our general projective finitely generated Hilbert A-module case. This generalization gives the possibility to study the universal classifying space.