Relative Cuntz-Krieger algebras of finitely aligned higher-rank graphs Aidan Sims 46L05graphs as categoriesgraph algebraC-star algebra We define the relative Cuntz-Krieger algebras associated to finitely aligned higher-rank graphs. We prove versions of the gauge-invariant uniqueness theorem and the Cuntz-Krieger uniqueness theorem for relative Cuntz-Krieger algebras. Indiana University Mathematics Journal 2006 text pdf 10.1512/iumj.2006.55.2579 10.1512/iumj.2006.55.2579 en Indiana Univ. Math. J. 55 (2006) 849 - 868 state-of-the-art mathematics http://iumj.org/access/