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Bull. Korean Math. Soc. 2023; 60(2): 529-539

Online first article March 2, 2023      Printed March 31, 2023

https://doi.org/10.4134/BKMS.b220271

Copyright © The Korean Mathematical Society.

On nuclearity of semigroup crossed products

Qing Meng

Qufu Normal University

Abstract

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In this paper, we study nuclearity of semigroup crossed products for quasi-lattice ordered groups. We show the relationships among nuclearity of the semigroup crossed product, amenability of the quasi-lattice ordered group and nuclearity of the underlying $C^*$-algebra.

Keywords: Nuclearity, semigroup crossed product, quasi-lattice ordered group

MSC numbers: Primary 46L05, 46L55, 06F15

Supported by: This work was supported by the Natural Science Foundation of Shandong Province (Nos. ZR2020MA008 and ZR2019MA039), the China Postdoctoral Science Foundation (No. 2018M642633), and the National Natural Science Foundation of China (No. 11871303).

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