On classification of nonunital amenable simple C-algebras IV: Stably projectionless C-algebras

被引：1

作者：

Gong, Guihua ^{[1
]}

Lin, Huaxin ^{[2
,3
]}

机构：

[1] Univ Puerto Rico, Dept Math, San Juan, PR 00925 USA

[2] Shanghai Inst Math & Interdisciplinary Sci, Shanghai, Peoples R China

[3] Univ Oregon, Dept Math, Eugene, OR USA

来源：

ANNALS OF K-THEORY | 2024年 / 9卷 / 02期

关键词：

classification of simple C*-algebras; stably projectionless; ASYMPTOTIC UNITARY EQUIVALENCE; NUCLEAR DIMENSION; CROSSED-PRODUCTS; INDUCTIVE LIMITS; STATE-SPACE; Z-STABILITY; RANK; TRACES; THEOREM; CONJECTURE;

D O I：

10.2140/akt.2024.9.143

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that two separable simple stably projectionless amenable Z-stable C *- algebras which satisfy the UCT (the universal coefficient theorem) are isomorphic if and only if they have the same Elliott invariant. We also present a unified isomorphism theorem for the class of finite separable simple amenable Z-stable C *-algebras which satisfy the UCT.

引用

页码：143 / 339

页数：200

共 87 条

[1]

Elliott GA, 2016, Arxiv, DOI arXiv:1507.03437

[2] Cartan subalgebras and the UCT problem, II [J].