Almost normal operators mod Hilbert–Schmidt and the -theory of the algebras
Dan-Virgil Voiculescu
University of California, Berkeley, United States
![Almost normal operators mod Hilbert–Schmidt and the $K$-theory of the algebras $E \Lambda (\Omega)$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jncg-volume-8-issue-4.png&w=3840&q=90)
Abstract
Is there a mod Hilbert–Schmidt analogue of the BDF-theorem, with the Pincus -function playing the role of the index? We show that part of the question is about the -theory of certain Banach algebras. These Banach algebras, related to Lipschitz functions and Dirichlet algebras have nice Banach-space duality properties. Moreover their corona algebras are -algebras.
Cite this article
Dan-Virgil Voiculescu, Almost normal operators mod Hilbert–Schmidt and the -theory of the algebras . J. Noncommut. Geom. 8 (2014), no. 4, pp. 1123–1145
DOI 10.4171/JNCG/181