  Applying the classical Serre-Swan theorem, as this is extended to topological
(non-normed) algebras, one attains a classification of elementary particles via
their spin-structure. In this context, our argument is virtually based on a
``correspondence principle'' of S. A. Selesnick, formulated herewith in a
sheaf-theoretic language, presisely speaking, in terms of vector sheaves. This
then leads directly to second quantization, as well as, to other applications
of geometric (pre)quantization theory.
