Triangular UHF algebras
type: Item
instance of: scholarly article
title: Triangular UHF algebras
zbMATH Open document ID: 0722.47037
DOI: 10.1016/0022-1236(90)90052-M
author: R. L. Baker
published in: Journal of Functional Analysis
publication date: 1990-01-01T00:00:00Z
review text: The author classifies a class of triangular UHF algebras. Roughly, a triangular UHF algebra of rank \((p_ n)\) is the inductive limit of the algebras of \(p_ n\times p_ n\) upper triangular matrices where \(p_ m| p_ n\) for \(m\leq n\). To such an algebra, the author assigns a supernatural number which is a sequence of powers of primes. The author proves that two such algebras are isomorphic if and only if they have the same supernatural number.
Mathematics Subject Classification ID: 47L30
Mathematics Subject Classification ID: 46L10
zbMATH DE Number: 4190493
zbMATH Keywords: triangular UHF algebras
zbMATH Keywords: supernatural number
zbMATH Keywords: sequence of powers of primes
MaRDI profile type: Publication
cites work: Inductive Limits of Finite Dimensional C ∗ -Algebras
cites work: On a Certain Class of Operator Algebras
cites work: Q5624220
description: scientific article; zbMATH DE number 4190493