中文摘要：

度量空间和群本身的性质会影响极大和约化Г-不变（一致）Roe代数的关系.当空间具有A性质,同时等距作用在该空间上的群具有顺从性时,那么,极大和约化Г-不变（一致）Roe代数是同构的.

英文摘要：

The relationship between the maximal and reduced F-equivariant Roe algebras of a metric space relies on the properties of the metric space and group. If an amenable group acts by isometries on a uniformly discrete, bounded ge- ometry metric space with Property A, then the maximal F-equivariant （uniform） Roe algebra is isomorphic to the reduced F-equivariant （uniform） Roe algebra.