報(bào)告人：Prof. Jean Renault

講座日期：2019-06-10

講座時(shí)間：10:10

報(bào)告地點(diǎn)：長安校區(qū) 數(shù)學(xué)與信息科學(xué)學(xué)院學(xué)術(shù)交流廳

主辦單位：數(shù)學(xué)與信息科學(xué)學(xué)院

講座人簡介：

Jean Renault現(xiàn)任法國奧爾良大學(xué)教授, 主要研究方向?yàn)閯恿ο到y(tǒng)和算子代數(shù). 研究成果包括群胚C*-代數(shù)的結(jié)構(gòu)、群胚及其C*-代數(shù)的Morita等價(jià)、拓?fù)淙号叩捻槒男浴?/span>Radon-Nikodym上鏈的研究、C*-代數(shù)的Cartan子代數(shù)的概念和Hilbert叢上的仿射群胚作用. Jean Renault教授的博士論文《A Groupoid Approach to C*-algebras》現(xiàn)已成為研究群胚C*-代數(shù)的基本文獻(xiàn)。

講座簡介：

I will illustrate the use of groupoids in the study of KMS states and weights on C*-algebras. The KMS condition, which was introduced in quantum statistical mechanics to characterize equilibrium states, plays a crucial role in the theory of von Neumann algebras. The study of KMS states and their phase transitions on specific C*-algebras, in particular graph algebras, is an active field of research where the groupoid techniques are well adapted.