Bulletin of the Korean Mathematical Society (대한수학회보)

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ON NUCLEARITY OF SEMIGROUP CROSSED PRODUCTS

  • Qing Meng (School of Mathematical Sciences Qufu Normal University)
  • Received : 2022.04.15
  • Accepted : 2022.10.11
  • Published : 2023.03.31
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Abstract

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

Acknowledgement

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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