Almost normal operators mod Hilbert-Schmidt and the K-theory of the Banach algebras $E\Lambda(\Omega)$

Dan-Virgil Voiculescu

Almost normal operators mod Hilbert-Schmidt and the K-theory of the Banach algebras $E\Lambda(\Omega)$

Operator Algebras 2011-12-26 v2 Spectral Theory

Authors: Dan-Virgil Voiculescu

Abstract

Is there a mod Hilbert-Schmidt analogue of the BDF-theorem, with the Pincus g-function playing the role of the index ? We show that part of the question is about the K-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 C*-algebras.

Keywords

almost normal operator Hilbert-Schmidt ideal BDF theorem Banach algebra K-theory corona algebra

Cite

@article{arxiv.1112.4930,
  title  = {Almost normal operators mod Hilbert-Schmidt and the K-theory of the Banach algebras $E\Lambda(\Omega)$},
  author = {Dan-Virgil Voiculescu},
  journal= {arXiv preprint arXiv:1112.4930},
  year   = {2011}
}

Comments

24 pages Removed "shortcut" commands in the .tex file and reverted to full LaTex readable commands

Almost normal operators mod Hilbert-Schmidt and the K-theory of the Banach algebras $E\Lambda(\Omega)$

Abstract

Keywords

Cite

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