Representation Theory of some Infinite-dimensional Algebras Arising in Continuously Controlled Algebra and Topology

2003/10/21 by Fernando Muro
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Quantum Information and Cryptography #math.KT #math.RT #msc:16E10 #msc:16E30 #msc:16G20 #msc:16G60 #msc:16S50

paper · pdf · doi:10.1007/s10977-004-1837-4

published as K-Theory 33 no. 1 (2004) pag. 23-65 · 33 pages

arxiv created 2003/10/21 · openalex publication_date 2004/09/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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