Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-25T04:26:25.839Z Has data issue: false hasContentIssue false
  • English
  • Français

PURELY INFINITE CUNTZ–KRIEGER ALGEBRAS OF DIRECTED GRAPHS

Published online by Cambridge University Press:  13 August 2003

JEONG HEE HONG  and
WOJCIECH SZYMAŃSKI
JEONG HEE HONG
Affiliation:
Applied Mathematics, Korea Maritime University, Busan 606–791, South [email protected]
WOJCIECH SZYMAŃSKI
Affiliation:
Mathematics, The University of Newcastle, Callaghan, NSW 2308, [email protected]
Get access

Abstract

For arbitrary infinite directed graphs $E$, the characterisation of the (not necessarily simple) Cuntz–Krieger algebras $C^*(E)$ which are purely infinite in the sense of Kirchberg–Rørdam is given. It is also shown that $C^*(E)$ has real rank zero if and only if the graph $E$ satisfies Condition (K).

Keywords

46L05
Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 5 , September 2003 , pp. 689 - 696
Copyright
© The London Mathematical Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)