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arXiv · 2410.21606

The spectral model of (Real) $K$-theory

Anupam Datta
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Abstract

We use homotopy theoretic ideas to study the $K$-theory of (graded, Real) $C^*$-algebras in detail. After laying the foundations, and deriving the formal properties, the comparison of the model with the Kasparov picture of $K$-theory has been made, and Bott periodicity has been proven using a Dirac-dual Dirac method.

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Anupam Datta. 2024-10-28. The spectral model of (Real) $K$-theory. https://arxiv.org/abs/2410.21606

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