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ANALYTIC RANK OF GRAPH ALGEBRAS AND QUANTUM SPACES

Published online by Cambridge University Press:  19 December 2006

JEONG HEE HONG  and
WOJCIECH SZYMAŃSKI
JEONG HEE HONG
Affiliation:
Applied Mathematics, Korea Maritime University, Busan 606–791, South Koreahongjh@mail.hhu.ac.kr
WOJCIECH SZYMAŃSKI
Affiliation:
Mathematics, The University of Newcastle, NSW 2308, AustraliaWojciech.Szymanski@newcastle.edu.au
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Abstract

We show that the analytic rank, as defined by Murphy, of a unital graph C*-algebra is either 1 or 0, depending on whether or not the underlying graph possesses an initial loop. As a corollary, we show that the analytic rank of certain quantum spaces (including some quantum spheres, projective spaces and lens spaces) is 1.

Keywords

46L0546L6546L87

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Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 6 , December 2006 , pp. 1000 - 1004
Copyright
The London Mathematical Society 2006

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