Cluster characters for cluster categories with infinite-dimensional morphism spaces

Understand

We prove the existence of cluster characters for Hom-infinite cluster categories.

• For this purpose, we introduce a suitable mutation-invariant subcategory of the cluster category.
• We sketch how to apply our results in order to categorify any skew-symmetric cluster algebra.
• More applications and a comparison to Derksen-Weyman-Zelevinsky's results will be given in a future paper.