Large scale structure of metric spaces from the viewpointo of operator algebras

2017 Fiscal Year Final Research Report

• Project/Area Number: 26870598
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Geometry; Basic analysis
• Research Institution: Niigata University
• Principal Investigator: Sako Hiroki 新潟大学, 自然科学系, 准教授 (70708338)
• Project Period (FY): 2014-04-01 – 2018-03-31
• Keywords: 距離空間 / 大規模構造 / 作用素環

Outline of Final Research Achievements

In this project, I examined mathematical research. The subject was large scale geometry on metric spaces. I tried to come up with new theorems related to the subject. There may be various ways in which we examine metric spaces. I decided to make use of knowledge on operator algebras. My knowledge on operator algebra has been utilized for this project. It has been pointed out that amenability on metric space corresponds to finite dimensional approximation property on operator algebras. In this project, I tried to generalize such kind of correspondence.

Free Research Field

数学(作用素環論)