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K-Theory of topological algebras and second quantization

Anastasios Mallios
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Abstract

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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Anastasios Mallios. 2002-07-25. K-Theory of topological algebras and second quantization. https://arxiv.org/abs/math-ph/0207035

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