Asymptotic property C of the wreath product ZwrZ

2016/07/26 by Jingming Zhu, Yan Wu, Zhu, Jingming +1
Mathematics · #51F30 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1607.07599

openalex publication_date 2016/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the relationship between transfinite asymptotic dimension and asymptotic property C, we obtain that the wreath product Z wr Z has asymptotic property C. Specifically, we prove that the transfinite asymptotic dimension of the wreath product Z wr Z is no more than omega+ 1.

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• Transfinite Asymptotic Dimension
• On asymptotic property C
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