有格全 K 理论

arXiv - MATH - Operator Algebras Pub Date : 2024-08-28 DOI:arxiv-2408.15941

Qingnan An, Chunguang Li, Zhichao Liu

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摘要

本文针对实阶为零的可分离 C*-gebras 的分类建立了一个新的不变量，我们称之为晶格总 K 理论。根据这样一个不变量，给出了一大类实阶为零的可分离 C*-gebras 的分类定理，这些可分离 C*-gebras 是由无限和无穷 C*-gebras 的扩展产生的。许多既有有限投影又有无限投影的布拉都可以被分类。

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A latticed total K-theory

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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arXiv - MATH - Operator Algebras

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