强拟不变态的自同构群

IF 1.4 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2025-07-18 DOI:10.1007/s11005-025-01976-3

Ameur Dhahri, Chul Ki Ko, Hyun Jae Yoo

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引用次数: 0

摘要

对于von Neumann代数上的\(*\) -自同构群G，研究了G的拟不变态及其性质。g -拟不变性或g -强拟不变性比g -不变性弱，具有广泛的应用。给出了g强拟不变态的几个性质。它们中的许多是已经发展的g不变态理论的扩展。其中，我们考虑了群G与模自同构群、不变子代数、遍历性、模理论和阿贝尔子代数之间的关系。我们提供了一些例子来支持结果。

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Group of automorphisms for strongly quasi-invariant states

For a \(*\)-automorphism group G on a von Neumann algebra, we study the G-quasi-invariant states and their properties. The G-quasi-invariance or G-strongly quasi-invariance is weaker than the G-invariance and has wide applications. We develop several properties for G-strongly quasi-invariant states. Many of them are the extensions of the already developed theories for G-invariant states. Among others, we consider the relationship between the group G and modular automorphism group, invariant subalgebras, ergodicity, modular theory, and abelian subalgebras. We provide with some examples to support the results.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.