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arXiv · 2209.12710

Upgrading subordination properties in free probability theory

Hari Bercovici·Serban T. Belinschi
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Abstract

The existence of Voiculescu's subordination functions in the context of non-tracial operator-valued C*-probability spaces has been established using analytic function theory methods. We use a matrix construction to show that the subordination functions thus obtained also satisfy an appropriately modified form of subordination for conditional expectations.

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Hari Bercovici, Serban T. Belinschi. 2022-09-26. Upgrading subordination properties in free probability theory. https://arxiv.org/abs/2209.12710

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