• Corpus ID: 14244991

C*-algebras associated to product systems of hilbert bimodules

@article{Sims2007CalgebrasAT,
  title={C*-algebras associated to product systems of hilbert bimodules},
  author={Aidan Sims and Trent Yeend},
  journal={Journal of Operator Theory},
  year={2007},
  volume={64},
  pages={349-376}
}
Let (G,P) be a quasi-lattice ordered group and let X be a compactly aligned product system over P of Hilbert bimodules. Under mild hypotheses we associate to X a C*-algebra which we call the Cuntz-Nica-Pimsner algebra of X. Our construction generalises a number of others: a sub-class of Fowler's Cuntz-Pimsner algebras for product systems of Hilbert bimodules; Katsura's formulation of Cuntz-Pimsner algebras of Hilbert bimodules; the C*-algebras of finitely aligned higher-rank graphs; and Crisp… 

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