The admissible KMS bundles on classifiable C*-algebras

被引：0
|
作者：
Neagu, Robert [1 ]
机构：
[1] Katholieke Univ Leuven, Dept Math, Celestijnenlaan 200B, B-3001 Leuven, Belgium
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2024年
基金：
英国工程与自然科学研究理事会; 欧洲研究理事会;
关键词：
states; classification of C*-algebras; general theory of C*-algebras; C*-algebras; flows; KMS conditions; equilibrium states; NUCLEAR DIMENSION; Z-STABILITY; ROKHLIN DIMENSION; CLASSIFICATION; OBSTRUCTIONS; WEIGHTS; TRACES; STATES;
D O I：
10.1017/prm.2024.125
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given any unital, finite, classifiable C*-algebra A with real rank zero and any compact simplex bundle with the fibre at zero being homeomorphic to the space of racial states on A, we show that there exists a flow on A realizing this simplex. Moreover, we show that given any unital UCT Kirchberg algebra A and any proper simplex bundle with empty fibre at zero, there exists a flow on A realizing this simplex.
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页数：34
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