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MR1948111 46L05 (37B50 46L89 52C23)
El Kacimi Alaoui, A.; Parthasarathy, R. Trace splittings in $C^*$-algebras of tiling systems via colourings. Proc. Amer. Math. Soc. 131 (2003), no. 4, 1191–1204.
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