AF algebras with directed sets of finite-dimensional *-subalgebras

Lazar, Aldo J.

doi:10.1090/S0002-9947-1983-0682726-2

AF algebras with directed sets of finite-dimensional $^{\ast }$-subalgebras
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by Aldo J. Lazar

Trans. Amer. Math. Soc. 275 (1983), 709-721

DOI: https://doi.org/10.1090/S0002-9947-1983-0682726-2

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Abstract:

We characterize the unital $AF$ algebras whose families of finite dimensional $^{\ast }$-subalgebras are directed by inclusion. A representation theorem for the algebras of this class allows us to classify them up to $^{\ast }$-isomorphisms.

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