Boundary Functions for Ideals in Analytic Limit Algebras

Details Boundary Functions for Ideals in Analytic Limit Algebras Boundary Functions for Ideals in Analytic Limit Algebras

1998-06-08

arxiv.org/abs/math/9806045v1

Illinois J. Math 42 (1998), 257--279

Mathematics

Operator Algebras

AMS-TeX; 23 pages; to appear Illinois J. Math

Scientific paper

We develop a theory of boundary functions for ideals in trivially analytic subalgebras of simple AF C*-algebras with an injective 0-cocycle, a class which includes all full nest algebras. Boundary functions are maps from the spectrum of the diagonal of the analytic subalgebra to itself. The relation between boundary functions and ideal sets is explored and a description is given of meet and join irreducible boundary functions.

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