On Invariants of C^*-algebras with the ideal property

2015/10/04 by Kun Wang, Wang, Kun
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #math.OA

paper · pdf · doi:10.48550/arxiv.1510.00974

arxiv created 2017/05/28 · arxiv updated 2017/05/30

Abstract

In this paper, we consider C^*-algebras with the ideal property (the ideal property unifies the simple and real rank zero cases). We define two categories related the invariants of the C^*-algebras with the ideal property. And we showed that these two categories are in fact isomorphic. As a consequence, the Elliott's Invariant and the Stevens' Invariant are isomorphic for C^*-algebras with the ideal property.

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