C * -algebras Associated to Product Systems of Hilbert Bimodules

@inproceedings{SimsC,
  title={C * -algebras Associated to Product Systems of Hilbert Bimodules},
  author={Aidan Sims and Trent Yeend}
}
Let (G, P) be a quasi-lattice ordered group and let X be a compactly aligned product system over P of Hilbert bimodules. 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 bi-modules; the C *-algebras of finitely aligned higher-rank graphs; and Crisp and Laca's boundary… CONTINUE READING

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