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February 2022 Real rank zero for purely infinite corona algebras
Ping Wong Ng
Rocky Mountain J. Math. 52(1): 243-261 (February 2022). DOI: 10.1216/rmj.2022.52.243

Abstract

Real rank zero was a reoccurring, though implicit, theme in the original Brown–Douglas–Fillmore theory. Motivated by this and other considerations, we prove that a large class of (not necessarily simple) purely infinite corona algebras has real rank zero.

Citation

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Ping Wong Ng. "Real rank zero for purely infinite corona algebras." Rocky Mountain J. Math. 52 (1) 243 - 261, February 2022. https://doi.org/10.1216/rmj.2022.52.243

Information

Received: 17 March 2019; Revised: 6 June 2021; Accepted: 15 June 2021; Published: February 2022
First available in Project Euclid: 19 April 2022

Digital Object Identifier: 10.1216/rmj.2022.52.243

Subjects:
Primary: 00A05

Keywords: Brown–Douglas–Fillmore theory , C*-algebras , corona algebras , extension theory , real rank zero

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

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Vol.52 • No. 1 • February 2022
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