Large scale structure of metric spaces from the viewpointo of operator algebras
| 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
|
| Project Status |
Completed (Fiscal Year 2017)
|
| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
|
|---|
| Keywords | 距離空間 / 大規模構造 / 作用素環 / 有限次元近似性質 / 距離空間の幾何学 / 非可換確率論 / 作用素環論 / 離散群論 |
|---|
| 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.
|
Report
(5 results)
Research Products
(13 results)
