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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The authors would like to thank Iain Raeburn for sharing his insights. We are also grateful for the improvements suggested by the anonymous referee.
This research was supported by Marsden grant 15-UOO-071 from the Royal Society of New Zealand.
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Clark, L.O., Pangalela, Y.E.P. Efficient Presentations of Relative Cuntz-Krieger Algebras. Anal Math 47, 37–65 (2021). https://doi.org/10.1007/s10476-021-0066-x
Key words and phrases
- higher-rank graph
- relative graph algebra
- graph C*-algebra
Mathematics Subject Classification