New York Journal of Mathematics
Volume 11 (2005) 649-658

  

Matthew Johnson

The graph traces of finite graphs and applications to tracial states of C*-algebras


Published: December 18, 2005
Keywords: C*-algebras, directed graph, trace, tracial state, convex set
Subject: 46L55

Abstract
We determine the extreme points of the set of graph traces of norm one for any finite graph E satisfying Condition (K). We also describe an application to the space of tracial states on the graph C*-algebra.

Acknowledgements

This research was supported by NSF Grant DMS-0070405 and NSF Postdoctoral Fellowship ∈dent DMS-0201960.


Author information

Department of Mathematics, University of Iowa, Iowa City, IA 52242-1419, USA
mattjohn@math.uiowa.edu