June 2022 The UCT problem for nuclear C*-algebras
Nathanial Brown, Sarah L. Browne, Rufus Willett, Jianchao Wu
Rocky Mountain J. Math. 52(3): 817-827 (June 2022). DOI: 10.1216/rmj.2022.52.817

Abstract

In recent years, a large class of nuclear C-algebras have been classified, modulo an assumption on the universal coefficient theorem (UCT). We think this assumption is redundant and propose a strategy for proving it. Indeed, following the original proof of the classification theorem, we propose bridging the gap between reduction theorems and examples. While many such bridges are possible, various approximate ideal structures appear quite promising.

Citation

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Nathanial Brown. Sarah L. Browne. Rufus Willett. Jianchao Wu. "The UCT problem for nuclear C*-algebras." Rocky Mountain J. Math. 52 (3) 817 - 827, June 2022. https://doi.org/10.1216/rmj.2022.52.817

Information

Received: 6 May 2020; Revised: 2 September 2021; Accepted: 2 September 2021; Published: June 2022
First available in Project Euclid: 16 June 2022

MathSciNet: MR4441099
zbMATH: 1500.46050
Digital Object Identifier: 10.1216/rmj.2022.52.817

Subjects:
Primary: 46-02

Keywords: KK-theory , nuclear C∗-algebras , the UCT problem

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

Vol.52 • No. 3 • June 2022
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