Clifford Modules, Finite-Dimensional Approximation and Twisted K-Theory

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Abstract

A twisted version of Furuta's generalized vector bundle provides a finite-dimensional model of twisted K-theory. We generalize this fact involving actions of Clifford algebras. As an application, we show that an analogy of the Atiyah-Singer map for the generalized vector bundles is bijective. Furthermore, a finite-dimensional model of twisted K-theory with coefficients Zip is given.

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JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO. 19(4):587-612 (2012)

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