A latticed total K-theory

2024/08/28 by An, Qingnan, Li, Chunguang, Liu, Zhichao
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2408.15941

Abstract

In this paper, a new invariant was built towards the classification of separable C*-algebras of real rank zero, which we call latticed total K-theory. A classification theorem is given in terms of such an invariant for a large class of separable C*-algebras of real rank zero arising from the extensions of finite and infinite C*-algebras. Many algebras with both finite and infinite projections can be classified.

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