论文标题
一类AF-Elgebras直至通用UHF-Elgebra稳定性
A class of AF-algebras up to universal UHF-algebra stability
论文作者
论文摘要
我们将证明，可分离的Unital AF-Elgebras的Bratteli图不允许将两个节点收集到一个节点中，可以将其分类到张量产品中，并使用Universal UHF-Algebra $ \ Q $仅通过其痕量空间进行分类。也就是说，如果$ \ a $和$ \ b $是这样的af-algebras，则$ t（a）= t（b）$，仅当$ \ a \ a \ otimes \ q \ q \ c \ cong \ b \ b \ otimes \ q $。
We will show that separable unital AF-algebras whose Bratteli diagrams do not allow converging two nodes into one node, can be classified up to the tensor product with the universal UHF-algebra $\Q$ only by their trace spaces. That is, if $\A$ and $\B$ are such AF-algebras, then $T(A)=T(B)$ if and only if $\A\otimes \Q \cong \B\otimes \Q$.
