Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology

Details Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology

2003-10-21

arxiv.org/abs/math/0310334v1

K-Theory 33 no. 1 (2004) pag. 23-65

Mathematics

Representation Theory

33 pages

Scientific paper

10.1007/s10977-004-1837-4

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.

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