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ANALYTIC RANK OF GRAPH ALGEBRAS AND QUANTUM SPACES
Published online by Cambridge University Press: 19 December 2006
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.
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- The London Mathematical Society 2006
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