최근 동영상
수학강연회
특별강연
대중강연
입학전 특별강좌 (가)
인문사회계를 위한 수학
수학 및 연습 1
기초수학
공학수학


Connes's Embedding Conjecture and its equivalent

Narutaka Ozawa (RIMS)
2013. 10. 31.

I will talk on Cannes's Embedding Conjecture, which is considered as one of the most important open problems in the field of operator algebras. It asserts that every finite von Neumann algebra is approximable by matrix algebras in suitable sense. It turns out, most notably by Kirchberg, that Cannes's Embedding Conjecture is equivalent to surprisingly
many other important conjectures which touches almost all the subfields of operator algebras and also to other branches of mathematics such as quantum information theory and noncommutative real algebraic geometry.