  A C*-algebra is n-homogeneous (where n is finite) if every its nonzero
irreducible representation acts on an n-dimensional Hilbert space. An
elementary proof of Fell's characterization of n-homogeneous C*-algebras (by
means of their spectra) is presented. A spectral theorem and a functional
calculus for finite systems of elements which generate n-homogeneous
C*-algebras are proposed.
