陈景润讨论班报告

报告人： Katsoulis, Elias G （East Carolina University)

题  目：Tensor algebras of product systems and their C*-envelopes

时  间：2018.07.11（星期三）, 10:00--11:00

地  点：数学院南楼N902室

摘  要：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.