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.
Qing Meng
Qufu Normal University
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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