系数在一致Roe双模中的一致Roe代数的霍赫希尔德同调
On Hochschild homology of uniform Roe algebras with coefficients in uniform Roe bimodules
摘要：
最近，M。Lorentz和R. Willett证明了有界几何的度量空间的一致Roe代数的所有有界导子都是内导子.在这里，我们计算的外导子的空间的一致Roe代数的系数在一致Roe双模有关的各种度量的两个副本的给定空间。我们也给出了关于系数在一致Roe双模中的高阶Hochschild上同调的一些结果。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
