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Classification of C-algebras of real rank zero and a latticed total K-theory

  • Qingnan An

    Northeast Normal University, Changchun, P. R. China
    ORCID

  • Chunguang Li

    Northeast Normal University, Changchun, P. R. China

  • Zhichao Liu

    Dalian University of Technology, P. R. China
    ORCID
Classification of C$^{*}$-algebras of real rank zero and a latticed total K-theory cover
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Abstract

In this paper, a new invariant was built toward 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.

Cite this article

Qingnan An, Chunguang Li, Zhichao Liu, Classification of C-algebras of real rank zero and a latticed total K-theory. J. Noncommut. Geom. (2025), published online first

DOI 10.4171/JNCG/640