On the multiplication of operator-valued C-free random variables

Mihai Popa; Victor Vinnikov; Jiun Chiau Wang

doi:10.4064/cm7241-9-2017

On the multiplication of operator-valued C-free random variables

Mihai Popa, Victor Vinnikov, Jiun Chiau Wang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The paper discusses some results concerning multiplication of non-commutative random variables that are c-free with respect to a pair (Φ, φ), where Φ is a linear map with values in some Banach algebra or C*-algebra and φ is scalar-valued. In particular, we construct a suitable analogue of Voiculescu’s S-transform for this framework.

Original language	English
Pages (from-to)	241-260
Number of pages	20
Journal	Colloquium Mathematicum
Volume	153
Issue number	2
DOIs	https://doi.org/10.4064/cm7241-9-2017
State	Published - 1 Jan 2018

Keywords

C-free independence
Free independence
Kreweras complementary
Multiplicative convolution
Operator-valued map
Planar trees

ASJC Scopus subject areas

General Mathematics

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10.4064/cm7241-9-2017

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AB - The paper discusses some results concerning multiplication of non-commutative random variables that are c-free with respect to a pair (Φ, φ), where Φ is a linear map with values in some Banach algebra or C*-algebra and φ is scalar-valued. In particular, we construct a suitable analogue of Voiculescu’s S-transform for this framework.

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KW - Free independence

KW - Kreweras complementary

KW - Multiplicative convolution

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KW - Planar trees

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On the multiplication of operator-valued C-free random variables

Abstract

Keywords

ASJC Scopus subject areas

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