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The Grothendieck Groups of Discrete Cluster Categories of Dynkin Type $A_{\infty}$ (2206.03911v2)
Published 8 Jun 2022 in math.RT and math.CT
Abstract: In this work we compute the triangulated Grothendieck groups for each of the family of discrete cluster categories of Dynkin type $A_{\infty}$ as introduced by Holm-Jorgensen. Subsequently, we also compute the Grothendieck group of a completion of these discrete cluster categories in the sense of Paquette-Yildirim.
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