Department of Mathematics

Operator Algebras Reading

  •  Aldo Garcia Guinto, MSU
  •  Conjugate Variables and Dual Systems
  •  09/26/2022
  •  4:00 PM - 5:30 PM
  •  C517 Wells Hall
  •  Brent Nelson (

In free probability, the semi-circular operators are the analogue of the Gaussian distribution in classical probability. We will be using the semi-circular operators to motivate two notions of free probability: conjugate variables and dual systems. The conjugate variables are used to define free Fisher information, which is analogue of Fisher information in classical probability. While the dual systems are related to a cohomology theory for von Neumann algebras. It turns out that these two notions are not as different as they may seem.



Department of Mathematics
Michigan State University
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C212 Wells Hall
East Lansing, MI 48824

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College of Natural Science