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EXTENSION ALGEBRAS OF CUNTZ ALGEBRA, II
Published online by Cambridge University Press: 08 June 2009
Abstract
In this paper, we construct the unique (up to isomorphism) extension algebra, denoted by E∞, of the Cuntz algebra 𝒪∞ by the C*-algebra of compact operators on a separable infinite-dimensional Hilbert space. We prove that two unital monomorphisms from E∞ to a unital purely infinite simple C*-algebra are approximately unitarily equivalent if and only if they induce the same homomorphisms in K-theory.
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- Copyright © Australian Mathematical Society 2009
Footnotes
This work was supported by the National Natural Science Foundation of China (grant no. 10771161) and the Natural Science Foundation of Shandong Province (grant no. Y2006A03).
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