AF algebras with directed sets of finite dimensional *-subalgebras

Aldo J. Lazar

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

AF algebras with directed sets of finite dimensional *-subalgebras

Aldo J. Lazar

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	709-721
Number of pages	13
Journal	Transactions of the American Mathematical Society
Volume	275
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1983-0682726-2
State	Published - Feb 1983

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AF algebras with directed sets of finite dimensional *-subalgebras

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