Quasi-invariant States with Uniformly Bounded Cocycles

IF 2.2 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2025-05-21 DOI:10.1007/s00220-025-05304-7

Ameur Dhahri, Éric Ricard

引用次数: 0

Abstract

We investigate the notion of quasi-invariant states introduced in [2] from an analytic viewpoint. We give the structures of quasi-invariant states with uniformly bounded cocycles. As a consequence, we can apply a Theorem of Kovács and Szücs to get a conditional expectation on fixed points and another of St\(\o \)rmer to get an invariant semifinite trace under extra assumptions.

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具有一致有界环的拟不变态

从解析的角度研究[2]中引入的拟不变态的概念。给出了具有一致有界环的拟不变态的结构。因此，我们可以应用Kovács和sz s定理得到不动点上的条件期望，应用St \(\o \) rmer定理得到额外假设下的不变半有限迹。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.