Constructing C*-diagonals in AH-algebras

Li, X. and Raad, A. I. (2023) Constructing C*-diagonals in AH-algebras. Transactions of the American Mathematical Society, (doi: 10.1090/tran/9023) (Early Online Publication)

Abstract

We construct Cartan subalgebras and hence groupoid models for classes of AH-algebras. Our results cover all AH-algebras whose building blocks have base spaces of dimension at most one as well as Villadsen algebras, and thus go beyond classifiable simple C*-algebras.

• Item Type: Articles
• Additional Information: This project had received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 817597). The second author was supported by the Internal KU Leuven BOF project C14/19/088 and project G085020N funded by the Research Foundation Flanders (FWO).
• Status: Early Online Publication
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Li, Professor Xin and Raad, Mr Ali
• Authors: Li, X., and Raad, A. I.
• College/School: College of Science and Engineering > School of Mathematics and Statistics; College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Transactions of the American Mathematical Society
• Publisher: American Mathematical Society
• ISSN: 0002-9947
• ISSN (Online): 1088-6850
• Published Online: 12 September 2023
• Copyright Holders: Copyright © 2023 American Mathematical Society
• First Published: First published in Transactions of the American Mathematical Society 2023
• Publisher Policy: Reproduced in accordance with the publisher copyright policy

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