We calculate the $S$-invariant of Connes for the von Neumann algebra factors arising from KMS weights of a generalized gauge action on a simple graph $C$*-algebra when the associated measure on the infinite path space of the graph is dissipative under the action of the shift.

中文翻译：

---

图$ C $ *-代数上的耗散KMS权重的因子类型

我们计算在简单图$ C $ *-代数上的广义尺度作用的KMS权重引起的von Neumann代数因子的von Neumann代数因子的S $ -S $不变量转变的行动。