Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology
arXiv:math/0310334 · doi:10.1007/s10977-004-1837-4
Abstract
In this paper we determine the representation type of some algebras of infinite matrices continuously controlled at infinity by a compact metrizable space. We explicitly classify their finitely presented modules in the finite and tame cases. The algebra of row-column-finite (or locally finite) matrices over an arbitrary field is one of the algebras considered in this paper, its representation type is shown to be finite.
33 pages