The topology of ideals in some triangular AF algebras

Mathematics – Operator Algebras

Scientific paper

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16 pages, AMS-TeX, email mikel@math.ucalgary.ca

Scientific paper

A set of meet-irreducible ideals is described for a class of maximal
triangular almost finite algebras. This set forms a topological space under the
hull-kernel closure, and there is a one-to-one correspondence between closed
sets in this space and ideals in the AF algebra. Some connections with nest
representations and nest-primitive ideals are also described.

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