Almost Periodic Type Group Actions on Compact Quantum Metric Spaces

作者：Long, Bo Tao^*; Wu, Wei

来源：ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2024, 40(2): 568-594.

DOI：10.1007/s10114-023-1519-x

• Lip-norm
• compact quantum metric space
• Lipschitz isomorphism
• almost periodicity
• Arzela-Ascoli theorem
• metric set

A compact quantum metric space is a complete order unit space A endowed with a Lipnorm L. We give some characterizations of almost periodic type group actions on a compact quantum metric space (A, L) by means of several kinds of subsets of A, its induced equicontinuous actions on several important subsets of the dual Banach space A*, and the Lip-norm L with its induced metric space structures on the states space S(A)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\cal{S}(A)$$\end{document} of A.

• 单位
  南京航空航天大学