The noncommutative geometry of k-graph C*-algebras

Publisher: Cambridge University Press

E-ISSN: 1865-5394|1|2|259-304

ISSN: 1865-2433

Source: Journal of K-Theory, Vol.1, Iss.2, 2008-04, pp. : 259-304

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Abstract

This paper is comprised of two related parts. First we discuss which k-graph algebras have faithful traces. We characterise the existence of a faithful semifinite lower-semicontinuous gauge-invariant trace on C* (Λ) in terms of the existence of a faithful graph trace on Λ.