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arXiv · 2107.11924

Capacity and the quasicentral modulus

Dan-Virgil Voiculescu
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Abstract

We point out that the quasicentral modulus is a noncommutative analogue of a nonlinear rearrangement invariant Sobolev condenser capacity. In the case of the shifts by the generators of a finitely generated group, the quasicentral modulus coincides with a corresponding nonlinear condenser capacity on the Cayley graph of the group. Some other capacities related to the quasicentral modulus are also discussed.

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Dan-Virgil Voiculescu. 2021-07-26. Capacity and the quasicentral modulus. https://arxiv.org/abs/2107.11924

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