Capacity and the quasicentral modulus
Functional Analysis
2022-01-11 v4
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.
Keywords
Cite
@article{arxiv.2107.11924,
title = {Capacity and the quasicentral modulus},
author = {Dan-Virgil Voiculescu},
journal= {arXiv preprint arXiv:2107.11924},
year = {2022}
}
Comments
11 pages, preliminary version, further minor corrections