This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.
Permalink
https://hdl.handle.net/2142/86929
Description
Title
Local Structure of Nuclear C*-Algebras
Author(s)
Eckhardt, Caleb
Issue Date
2009
Doctoral Committee Chair(s)
Junge, Marius
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
The purpose of this work is to provide a clearer picture between traditional approximation properties of C*-algebras and the recent local approximations, via operator spaces, of nuclear C*-algebras introduced by Junge, Ozawa and Ruan. Our main objects of study are the C*-algebras with OL equal to 1. In particular we construct new relationships between C*-algebras with OL equal to 1 and strong NF algebras. We also show the absence of equivalence between C*-algebras with OL equal to 1 and nuclear quasidiagonal C*-algebras.
Use this login method if you
don't
have an
@illinois.edu
email address.
(Oops, I do have one)
IDEALS migrated to a new platform on June 23, 2022. If you created
your account prior to this date, you will have to reset your password
using the forgot-password link below.
