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arXiv · 2408.15941

A latticed total K-theory

Qingnan An·Chunguang Li·Zhichao Liu
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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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Qingnan An, Chunguang Li, Zhichao Liu. 2024-08-28. A latticed total K-theory. https://arxiv.org/abs/2408.15941

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