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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
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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