Cuntz-Krieger 代数的角

Sara E. Arklint; Efren Ruiz

Cuntz-Krieger 代数的角

算子代数 2013-09-20 v3

作者: Sara E. Arklint , Efren Ruiz

摘要

我们证明：若 $A$ 是含单位元的 $C^*$ -代数， $B$ 是 Cuntz-Krieger 代数，且满足 $A\otimes\mathbb{K} \cong B\otimes\mathbb{K}$ ，则 $A$ 也是 Cuntz-Krieger 代数。由此可得，Cuntz-Krieger 代数的角仍是 Cuntz-Krieger 代数。

关键词

Cuntz-Krieger 代数 C*-代数角稳定同构紧算子

引用

@article{arxiv.1209.4336,
  title  = {Corners of Cuntz-Krieger algebras},
  author = {Sara E. Arklint and Efren Ruiz},
  journal= {arXiv preprint arXiv:1209.4336},
  year   = {2013}
}

备注

Version 3: 20 pages. Corrected typos and added or clarified definitions. This is the version that will be published. Version 2: 18 pages, removed unnecessary assumptions in Theorem 3.5 and Corollary 3.6, and updated references

Cuntz-Krieger 代数的角

摘要

关键词

引用

备注

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