|Keyword||C*-algebras, topological dynamics, discrete groups|
Introduction of Research
C*-algebra theory gives a mathematical framework to understand infinite dimensional, non-commutative structures.
When we study such objects (like groups, dynamical systems, metric spaces etc), C*-algebras often appear naturally and they play an essential role to analyze the original structures.
I myself aim to deepen understanding of C*-algebras via these constructions and trying to find new phenomena in this theory.
Recently, I succeeded to obtain an (essentially) non-commutative variant of amenable actions.
My further researches show that these actions give an appropriate approach to
understand Kirchberg algebras.
I would like to continue to study this new interesting phenomena further, and want to understand well.
I was born and grew up in Hokkaido. Since I entered to Hokkaido University as an undergrad, I enjoy studying pure mathematics.. My current interest is to understand infinite dimensional structures. "Amenability" is an important keyword to bridge gaps between finite world and infinite world.
|Affiliated academic society||Mathematical Society of Japan|
|Room address||Science Building 3 3-516|