Open Access
January 2018 Approximate uniqueness for maps from C(X) into simple real rank 0 C∗-algebras
P. W. Ng
Banach J. Math. Anal. 12(1): 126-143 (January 2018). DOI: 10.1215/17358787-2017-0046


Let X be a finite CW-complex, and let A be a unital separable simple finite Z-stable C∗-algebra with real rank 0. We prove an approximate uniqueness theorem for almost multiplicative contractive completely positive linear maps from C(X) into A. We also give conditions for when such a map can, within a certain “error,” be approximated by a finite-dimensional ∗-homomorphism.


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P. W. Ng. "Approximate uniqueness for maps from C(X) into simple real rank 0 C∗-algebras." Banach J. Math. Anal. 12 (1) 126 - 143, January 2018.


Received: 7 November 2016; Accepted: 27 February 2017; Published: January 2018
First available in Project Euclid: 26 September 2017

zbMATH: 06841268
MathSciNet: MR3745577
Digital Object Identifier: 10.1215/17358787-2017-0046

Primary: 47L30
Secondary: 47A05

Keywords: C∗-algebras , ‎K-theory , operator theory

Rights: Copyright © 2018 Tusi Mathematical Research Group

Vol.12 • No. 1 • January 2018
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