A latticed total K-theory

Fuente: arXiv
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Hauptverfasser: An, Qingnan, Li, Chunguang, Liu, Zhichao
Format: Preprint
Veröffentlicht: 2024
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author An, Qingnan
Li, Chunguang
Liu, Zhichao
author_facet An, Qingnan
Li, Chunguang
Liu, Zhichao
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2408_15941
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A latticed total K-theory
An, Qingnan
Li, Chunguang
Liu, Zhichao
Operator Algebras
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.
title A latticed total K-theory
topic Operator Algebras
url https://arxiv.org/abs/2408.15941