Approximation by normal elements with finite spectra in simple AF-algebras

Files

DMS-595-IR.pdf (447.56 KB)

Date

2010-06-01T22:05:39Z

Authors

Lin, Hauxin

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

We show that normal elements in simple AF-algebras with countably many extremal traces (such as UHF-algebras and matroid algebras) can be approximated by normal elements with finite spectra. Other AF-algebras are shown to have the same property.

Description

Keywords

Citation

URI

http://hdl.handle.net/1828/2828

Collections

Technical Reports (Mathematics and Statistics)
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.