TENSOR ALGEBRAS OF PRODUCT SYSTEMS AND THEIR C*ENVELOPES

发布日期:2018-06-15点击数:

报告人: Elias Katsoulis(East Carolina University)

 

 : 2018年6月22日  14:00—15:00

 

 : 理科楼LA107

 

 :Let (G; P) be an abelian, lattice ordered group and let X be a compactly aligned, \phi-injective product system over P. We show that the C*-envelope of the Nica tensor algebra is the Cuntz-Nica-Pimsner algebra 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 speaker.   

 

报告人简介:Elias Katsoulis,East Carolina University教授。个人网页请见:http://myweb.ecu.edu/katsoulise/

 

学院联系人: 李寒峰

 

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