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EXTENSION ALGEBRAS OF CUNTZ ALGEBRA, II

Published online by Cambridge University Press:  08 June 2009

SHUDONG LIU*
Affiliation:
School of Mathematical Sciences, Qufu Normal University, Qufu, People’s Republic of China (email: [email protected])
XIAOCHUN FANG
Affiliation:
Department of Mathematics, Tongji University, Shanghai, People’s Republic of China (email: [email protected])
*
For correspondence; e-mail: [email protected]
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Abstract

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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.

MSC classification

Type
Research Article
Copyright
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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