Isometry Groups of Twisted Reduced Group C*-algebras
报 告 人:: 龙波涛
报告地点:: 数学与统计学院317室
报告时间:: 2018年09月28日星期五10:00-11:00

An isometry of a unital C*-algebra with respect to a spectral triple is a *-automorphism of the C*-algebra given by the conjugation by a unitary operator which commutes with the Dirac operator. We give a semidirect product topological characterization on the isometry group of a twisted reduced group C*-algebra of a discrete group with respect to the standard spectral triple induced by a length function on the group.  We prove that this isometry group is compact in the point-norm topology, and in particular, for a finitely generated discrete group, this isometry group is a compact Lie group in the point-norm topology.  We also extend this result to a unital C*-algebra with a filtration, and prove that its isometry group is a compact topological group in the point-norm topology. This is a joint work with Wei Wu.

发 布 人:吴双 发布时间: 2018-09-24
龙波涛, 华东师范大学算子代数研究中心博士后。2010年9月本科毕业于东北师范大学数学与统计学院, 2017年7月于华东师范大学数学系获博士学位。主持国家自然科学基金青年项目,在Internat. J. Math.、Results Math等著名杂志发表论文。