The C*-Algebras of Row-Finite Graphs

Abstract:

We prove versions of the fundamental theorems about Cuntz-Krieger algebras for the $C^*$-algebras of row-finite graphs: directed graphs in which each vertex emits at most finitely many edges. Special cases of these results have previously been obtained using various powerful machines; our main point is that direct methods yield sharper results more easily.

Teresa Bates:
Department of Computer Science and Software Engineering, University of Melbourne, Victoria 3010, Australia
teresa@cs.mu.oz.au
http://www.cs.mu.oz.au/~teresa/

David Pask:
Department of Mathematics, University of Newcastle, NSW 2308, Australia
davidp@maths.newcastle.edu.au
http://maths.newcastle.edu.au/~davidp/

Iain Raeburn:
Department of Mathematics, University of Newcastle, NSW 2308, Australia
iain@maths.newcastle.edu.au
http://frey.newcastle.edu.au/maths/Staff/iain.html

Wojciech Szymanski:
Department of Mathematics, University of Newcastle, NSW 2308, Australia
wojciech@maths.newcastle.edu.au
http://frey.newcastle.edu.au/maths/Staff/wojciech.html