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In the following post, we go through an example computation of the K-theory of the tiling space of the Fibonacci tiling of 
. The main reference for these notes will be the book of Sadun [1]. In particular pages 27-29 and Theorem 2.1. We adopt the following conventions: The Fibonacci substitution rule with alphabet
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In this post we will look at the correspondence between torsion in cohomology of finite CW-complexes and torsion in their K-theory. The title could just as well have been “a use case for Atiyah-Hirzebruch spectral sequence” as this will be our primary tool.
Continue reading “A note on torsion in K-theory”