On the Decomposition Theorems for C*-algebras

Chunlan Jiang; Liangqing Li; Kun Wang

On the Decomposition Theorems for C*-algebras

Operator Algebras 2019-05-30 v1

Authors: Chunlan Jiang , Liangqing Li , Kun Wang

Abstract

Elliott dimension drop interval algebra is an important class among all $C^*$ -algebras in the classification theory. Especially, they are building stones of $\mathcal{AHD}$ algebra and the latter contains all $AH$ algebras with the ideal property of no dimension growth. In this paper, we will show two decomposition theorems related to the Elliott dimension drop interval algebra. Our results are key steps in classifying all $AH$ algebras with the ideal property of no dimension growth.

Keywords

c*-algebras

Cite

@article{arxiv.1905.12447,
  title  = {On the Decomposition Theorems for C*-algebras},
  author = {Chunlan Jiang and Liangqing Li and Kun Wang},
  journal= {arXiv preprint arXiv:1905.12447},
  year   = {2019}
}

Comments

40 pages. arXiv admin note: substantial text overlap with arXiv:1607.07581

On the Decomposition Theorems for C*-algebras

Abstract

Keywords

Cite

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