论文标题
在均匀的ROE代数的Hochschild同源性上，其系数在均匀的ROE双模型中
On Hochschild homology of uniform Roe algebras with coefficients in uniform Roe bimodules
论文作者
论文摘要
最近，洛伦兹（M. Lorentz）和威利特（R. Willett）表明，有界几何形状的度量空间的均匀ROE代数的所有有界推导都是内在的。在这里，我们计算均匀的ROE代数的外部衍生空间，该系数在给定空间的两个副本上与各种指标相关的均匀的ROE双模模中的系数。我们还为较高的霍基柴尔德共同学给出了一些结果，该系数在均匀的ROE双模型中。
It was shown recently by M. Lorentz and R. Willett that all bounded derivations of the uniform Roe algebras of metric spaces of bounded geometry are inner. Here we calculate the space of outer derivations of the uniform Roe algebras with coefficients in uniform Roe bimodules related to various metrics on the two copies of the given space. We also give some results on the higher Hochschild cohomology with coefficients in uniform Roe bimodules.
