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Endomorphisms of type II1-factors and Cuntz algebras
Published online by Cambridge University Press: 09 April 2009
Abstract
Any unital *-endomorphism of a type II1-factor is implemented by isometries of a Cuntz algebra outside the factor. If the Jones index of the range of the *-endomorphism is an integer and the algebras act on the standard space, the Jones index must agree with the number of the generators of the Cuntz algebra. We also study (outer) conjugacy of *-endomorphisms using Cuntz algebras.
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- Copyright © Australian Mathematical Society 1996