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arXiv · 1512.00276

K-theory of cluster C*-algebras

Igor Nikolaev
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Abstract

It is proved that the K_0-group of a cluster C*-algebra is isomorphic to the corresponding cluster algebra. As a corollary, one gets a shorter proof of the positivity conjecture for cluster algebras. As an example, we consider a cluster C*-algebra A(1,1) coming from triangulation of an annulus with one marked point on each boundary component.

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Igor Nikolaev. 2018-10-31. K-theory of cluster C*-algebras. https://doi.org/10.4064/bc120-2

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