论文标题
非公共Banach代数的局部循环同源性
Local cyclic homology for nonarchimedean Banach algebras
论文作者
论文摘要
令V为具有均匀的p的完整离散评估环。我们介绍了一种称为局部环状同源性的Banach V-Elgebras的不变。该不变性与分析循环同源性有关，用于完整的，无生性的无扭转v-elgebras。结果表明，局部循环同源性仅取决于Banach V-Elgebra的还原模式，并且它是同型不变，术中稳定且发电性的。
Let V be a complete discrete valuation ring with uniformiser p. We introduce an invariant of Banach V-algebras called local cyclic homology. This invariant is related to analytic cyclic homology for complete, bornologically torsionfree V-algebras. It is shown that local cyclic homology only depends on the reduction mod p of a Banach V-algebra and that it is homotopy invariant, matricially stable, and excisive.
