K-Theory of topological algebras and second quantization

Details K-Theory of topological algebras and second quantization K-Theory of topological algebras and second quantization

2002-07-25

arxiv.org/abs/math-ph/0207035v1

Physics

Mathematical Physics

16 pages, elaborated version of the talk at the opening session of the Intern. Conference on ``Topological Algebras and Applic

Scientific paper

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.

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