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arXiv · 1710.05986

Free mutual information for two projections

Tarek Hamdi
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Abstract

The present paper provides a proof of $i^*( \mathbb{C}P+\mathbb{C}(I-P); \mathbb{C}Q+\mathbb{C}(I-Q) )=-\chi_{orb}(P,Q)$ for two projections $P,Q$ without any extra assumptions. An analytic approach is adopted to the proof, based on a subordination result for the liberation process of symmetries associated with $P,Q$.

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Tarek Hamdi. 2017-10-16. Free mutual information for two projections. https://arxiv.org/abs/1710.05986

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