Sebastian Eckert
Published 2020-11-03Version 1
We apply the notion of hyperfinite families of modules to the wild path algebras of extended Kronecker quivers $k\Theta(d)$. While the preprojective and postinjective component are hyperfinite, we show the existence of a family of non-hyperfinite modules in the regular component for some $d$. Making use of dimension expanders to achieve this, our construction is more explicit than previous results.
Tame hereditary path algebras and amenability
The Gabriel-Roiter measures of the indecomposables in a regular component of the 3-Kronecker quiver
Representations of regular trees and invariants of AR-components for generalized Kronecker quivers
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