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Analytic Rank of Graph Algebras and Quantum Spaces |
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| Authors: | Hong, Jeong Hee Szymanski, Wojciech |
| Affiliation: | Applied Mathematics, Korea Maritime University Busan 606–791, South Korea e-mail: hongjh{at}mail.hhu.ac.kr Mathematics, The University of Newcastle NSW 2308, Australia e-mail: Wojciech.Szymanski{at}newcastle.edu.au |
| Abstract: | We show that the analytic rank, as defined by Murphy, of a unitalgraph C*-algebra is either 1 or 0, depending on whether or notthe underlying graph possesses an initial loop. As a corollary,we show that the analytic rank of certain quantum spaces (includingsome quantum spheres, projective spaces and lens spaces) is1. 2000 Mathematics Subject Classification 46L05, 46L65, 46L87. |
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