K-Theory of topological algebras and second quantization
Abstract
Description
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.
16 pages, elaborated version of the talk at the opening session of the Intern. Conference on ``Topological Algebras and Applications'', Oulu (2001)
16 pages, elaborated version of the talk at the opening session of the Intern. Conference on ``Topological Algebras and Applications'', Oulu (2001)