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数统华章2026系列54 Morita rigidity across exponents for l^p uniform Roe algebras

来源: 发布时间: 2026-09-21 点击量:
  • 讲座人: 钟永权 教授
  • 讲座日期: 2026-9-24(周四)
  • 讲座时间: 16:00
  • 地点: 文津楼1224

报告人简介

Chung Yeong Chyuan(钟永权),吉林大学教授,博士生导师,2017年博士毕业于Texas A&M University,之后在波兰科学院和莱顿大学进行博士后研究。主要从事非交换几何与算子代数方面的研究,相关论文发表在J. Funct. Anal.,J. Noncommut. Geom.等期刊上。

报告简介

Uniform Roe algebras encode the large-scale geometry of metric spaces. In this talk, I will discuss to what extent the exponent p is remembered by Morita equivalence of l^p uniform Roe algebras. For infinite bounded-geometry metric spaces X and Y, we show that B_u^p(X) and B_u^q(Y) cannot be Morita equivalent when 1\leq p<q<\infty. The main idea is to transport minimal left ideals through a Morita equivalence and obtain complemented embeddings between classical sequence spaces; standard Banach space facts then forces the exponents to agree. I will also explain the relationship between the endpoint cases p=0 and p=\infty, and indicate how these results fit into a broader Morita rigidity classification.

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