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arXiv · 2008.06990

Miscellaneous on Commutants mod Normed Ideals and Quasicentral Modulus I

Dan-Virgil Voiculescu
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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.

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Dan-Virgil Voiculescu. 2020-08-16. Miscellaneous on Commutants mod Normed Ideals and Quasicentral Modulus I. https://arxiv.org/abs/2008.06990

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