A note on commutation relations and finite dimensional approximations

被引：0
|
作者：
Lledo, Fernando [1 ,2 ]
Martinez, Diego [3 ]
机构：
[1] Univ Carlos III Madrid, Dept Math, Ave Univ 30, Madrid 28911, Spain
[2] UCM, Inst Ciencias Matemat, UAM, UC3M,CSIC, Madrid, Spain
[3] WWU Munster, Math Inst, Einsteinstr 62, D-48149 Munster, Germany
来源：
EXPOSITIONES MATHEMATICAE | 2022年 / 40卷 / 04期
基金：
欧洲研究理事会;
关键词：
Canonical commutation relations; C*-algebras; Ff lner approximations; Amenable traces; C-ASTERISK-ALGEBRAS; RESOLVENT ALGEBRA; AMENABILITY; DYNAMICS; SYSTEMS; FIELDS;
D O I：
10.1016/j.exmath.2022.08.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we show that the main C*-algebras describing the canonical commutation relations of quantum physics, i.e., the Weyl and resolvent algebras, are in the class of Ff lner C*-algebras, a class of C*-algebras admitting a kind of finite approximations of Ff lner type. In particular, we show that the tracial states of the resolvent algebra are uniform locally finite dimensional.(c) 2022 Elsevier GmbH. All rights reserved.
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页码：947 / 960
页数：14
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