我们将给出II_1型von Neumann代数中性质Gamma的一些等价条件并计算其相似度。我们还将考察性质c*-Gamma在一些新的构造下能否得到保持。最终我们研究一个可数离散顺从群在具有性质Gamma的II_1型von Neumann代数上的群作用下生成的叉积。我们将讨论在何种群作用下，所生成的叉积仍然是具有性质Gamma的II_1型von Neumann代数。

We will give some equivalent conditions to Property Gamma on type II_1 von Neumann algebras. We will investigate whether Property c*-Gamma can be preserved under some new constructions. We will also work on the crossed product obtained from an action of a countable amenable group on a type II_1 von Neumann algebra with Property Gamma. We will discuss that, under what condition of the action, the crossed product is still a type II_1 von Neumann algebra with Property Gamma.