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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 Koreahongjh@hanara.kmaritime.ac.kr
WOJCIECH SZYMAŃSKI
Affiliation:
Mathematics, The University of Newcastle, Callaghan, NSW 2308, Australiawojciech@frey.newcastle.edu.au
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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

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