Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Katsoulis, Elias G，East Carolina University
Inviter:
Title:
Tensor algebras of product systems and their C*-envelopes
Time & Venue:
2018.7.11 10:00-11:00 N902
Abstract:
Let (G, P) be an abelian, lattice ordered group and let X be a compactly aligned, $\tilde{\phi}$-injective product system over P. We show that the C*-envelope of the Nica tensor algebra $\mathcal{N} \mathcal{T}^+_X$ is the Cuntz-Nica-Pimsner algebra $\mathcal{N} \mathcal{O}_X$ as defined by Sims and Yeend. We give several applications of this result. In particular, we show that the Hao-Ng isomorphism problem for generalized gauge actions of discrete groups on C*-algebras of product systems has an affirmative answer in many cases, generalizing recent results of Bedos, Quigg, Kaliszewski and Robertson and of the second author.
Appendix：
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