English

A latticed total K-theory

Operator Algebras 2024-08-29 v1

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.

Keywords

Cite

@article{arxiv.2408.15941,
  title  = {A latticed total K-theory},
  author = {Qingnan An and Chunguang Li and Zhichao Liu},
  journal= {arXiv preprint arXiv:2408.15941},
  year   = {2024}
}

Comments

31 pages

R2 v1 2026-06-28T18:26:47.829Z