Group of automorphisms for strongly quasi invariant states

Autor:	Dhahri, Ameur, Ko, Chul Ki, Yoo, Hyun Jae
Rok vydání:	2023
Předmět:	Mathematics - Operator Algebras Mathematical Physics 37N20 81P16
Druh dokumentu:	Working Paper
Popis:	For a $*$-automorphism group $G$ on a $C^*$- or von Neumann algebra, we study the $G$-quasi invariant states and their properties. The $G$-quasi invariance or $G$-strongly quasi invariance are weaker than the $G$-invariance and have 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. Comment: 25 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2311.01481 Zobrazit plný text záznamu View this record from Arxiv