*时间:2021年11月2日10:00-11:00
*地点:腾讯会议:946100958
*主讲人:Chris Bruce 博士后(University of Glasgow)
*主持人:王航 研究员
*讲座内容简介:
In recent joint work of the authors with Laca, we precisely formulated the notion of partition function in the context of C*-dynamical systems. Here, we compute the partition functions of C*-dynamical systems arising from Toeplitz algebras of graphs, and we explicitly recover graph-theoretic information in terms of C*-dynamical invariants. In addition, we compute the type for KMS states on C*-algebras of finite (reducible) graphs and prove that the extremal KMS states at critical inverse temperatures give rise to type IIIλ factors. Our starting point is an independent result parameterising the partition functions of a certain class of C*-dynamical systems arising from groupoid C*-algebras in terms of β-summable orbits.
*主讲人简介:
Chris Bruce博士毕业于加拿大Victoria大学,研究兴趣是算子代数和代数数论的交叉领域,已在IMRN,Comm. Math. Phys.,Trans. Amer. Math. Soc.等杂志发表多篇文章。