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Berndt Brenken - Endomorphisms of finite direct sums of $I_{\infty}$ factors



BERNDT BRENKEN, Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta  T2N 1N4, Canada
Endomorphisms of finite direct sums of $I_{\infty}$ factors


The well known correspondence between *-representations of Cuntz algebras and unital *-endomorphisms of ${\cal B}({\cal H})$ is extended to a correspondence between *-representations of Cuntz-Krieger algebras and unital *-endomorphisms of finite direct sums of $I_{\infty}$ factors.