Classification of 𝒪_{∞}-Stable 𝒞*-Algebras

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-01-01 DOI:10.1090/memo/1461

James Gabe

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引用次数: 0

Abstract

I present a proof of Kirchberg’s classification theorem: two separable, nuclear, O ∞ \mathcal O_\infty -stable C ∗ C^\ast -algebras are stably isomorphic if and only if they are ideal-related K K KK -equivalent. In particular, this provides a more elementary proof of the Kirchberg–Phillips theorem which is isolated in the paper to increase readability of this important special case.

查看原文本刊更多论文

𝒪_{∞}稳定𝒞*-代数的分类

我提出了基希贝格分类定理的一个证明：当且仅当两个可分离的、核的、O ∞ \mathcal O_\infty -stable C ∗ C^\ast -gealbras 是理想相关的 K KK -equivalent 时，它们是稳定同构的。特别是，这为基希贝格-菲利普斯定理提供了一个更基本的证明，该定理在论文中被单独列出，以增加这一重要特例的可读性。

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464