Miscellaneous on Commutants mod Normed Ideals and Quasicentral Modulus I
Functional Analysis
2021-07-16 v3 K-Theory and Homology
Operator Algebras
Abstract
We define commutants mod normed ideals associated with compact smooth manifolds with boundary. The results about the K-theory of these operator algebras include an exact sequence for the connected sum of manifolds, derived from the Mayer-Vietoris sequence. We also make a few remarks about bicommutants mod normed ideals and about the quasicentral modulus for the quasinormed p-Schatten-von Neumann classes 0 < p < 1.
Keywords
Cite
@article{arxiv.2008.06990,
title = {Miscellaneous on Commutants mod Normed Ideals and Quasicentral Modulus I},
author = {Dan-Virgil Voiculescu},
journal= {arXiv preprint arXiv:2008.06990},
year = {2021}
}
Comments
14 pages minor corrections