Probabilistic Operator Algebra seminar: Twisted canonical anti-commutation relations and twisted independence

Seminar | September 18 | 3-5 p.m. | 736 Evans Hall

 Naofumi Muraki, Iwate Prefectural University

 Department of Mathematics

We will construct a one-parameter deformation of tensor product ( = twisted product) for non-commutative probability spaces, and show the existence of the associated universal calculation rule ( = twisted independence) for mixed moments of non-commutative random variables. The construction was inspired from the twisted canonical anti-commutation relations of W. Pusz.