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

Seminar | August 28 | 3-5 p.m. | 736 Evans Hall | Canceled

 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 .