Boolean algebras and operator algebras
- November 4 (Thu) at 15:00 - 16:30, 2021 (JST)
- Michiya Mori (Special Postdoctoral Researcher, iTHEMS)
- 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.