Efficient Presentations of Relative Cuntz-Krieger Algebras

Published 18 Apr 2018 in math.OA | (1804.06591v1)

Abstract: In this article, we present a new method to study relative Cuntz-Krieger algebras for higher-rank graphs. We only work with edges rather than paths of arbitrary degrees. We then use this method to simplify the existing results about relative Cuntz-Krieger algebras. We also give applications to study ideals and quotients of Toeplitz algebras.

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