On the multiplication of operator-valued c-free random variables
Volume 153 / 2018
Colloquium Mathematicum 153 (2018), 241-260
MSC: Primary 46L54; Secondary 05A15.
DOI: 10.4064/cm7241-9-2017
Published online: 30 May 2018
Abstract
The paper discusses some results concerning multiplication of non-commutative random variables that are c-free with respect to a pair $( \varPhi , \varphi ) $, where $ \varPhi $ is a linear map with values in some Banach algebra or C$^\ast $-algebra and $ \varphi $ is scalar-valued. In particular, we construct a suitable analogue of Voiculescu’s $ S $-transform for this framework.
