K-theory of cluster C*-algebras
arXiv:1512.00276 · doi:10.4064/bc120-2
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.
Proceedings of the conference "Quantum Dynamics" in honour of Paul F. Baum on the occasion of his 80th birthday; Banach Center Publications (to appear)