Boolean algebras and operator algebras
- 2021年11月4日(木)15:00 - 16:30 (JST)
- 森 迪也 (数理創造プログラム 基礎科学特別研究員)
- via Zoom
The concept of Boolean algebra was introduced by George Boole in 1847. It plays a fundamental role in the theory of propositional logic. The theory of operator algebras was initiated by John von Neumann in around 1930. A keyword of the latter theory is "noncommutativity".
In this talk, I will first explain basics of Boolean algebras and some ideas in operator algebra theory. Then I will talk about my recent attempt to give a new formulation of the concept of "noncommutative Boolean algebras" in an operator algebraic framework.