Tame (hereditary) algebras of amenable representation type

2020/12/15 by Sebastian Eckert, Eckert, Sebastian
Mathematics · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2012.08461

Abstract

We show that all finite dimensional, tame hereditary k-algebras are of amenable representation type (in the sense of G. Elek) for all fields k. The proof is adapted from our previous result for tame path algebras. Further, it is proven that this results extends to some tilted algebras, in particular tame concealed algebras are amenable.

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