关于拟直有限群$C^*$ -代数的注记
A note on some group $C^*$-algebras which are quasi-directly finite
摘要：
一个代数称为拟直有限的，当它的单位化中的任何左可逆元素自动右可逆。Kaplansky的一个老的观察是离散群的von Neumann代数具有这个性质;在这篇注记中，我们整理了更一般的局部紧群的群$C^*$ -代数的一些类似结果。部分动机来自作者早期关于卷积算子空剩余谱现象的工作。
英文摘要：
An algebra is said to be quasi-directly finite when any left-invertible element in its unitization is automatically right-invertible. It is an old observation of Kaplansky that the von Neumann algebra of a discrete group has this property; in this note, we collate some analogous results for the group $C^*$-algebras of more general locally compact groups. Partial motivation comes from earlier work of the author on the phenomenon of empty residual spectrum for convolution operators.
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