On the uniqueness of invariant states

被引：4

作者：

Bambozzi, Federico ^{[1
]}

Murro, Simone ^{[2
]}

机构：

[1] Radcliffe Observ Quarter, Math Inst, Woodstock Rd, Oxford OX2 6GG, England

[2] Univ Freiburg, Math Inst, D-79104 Freiburg, Germany

来源：

ADVANCES IN MATHEMATICS | 2021年 / 376卷

关键词：

Twisted group algebra; Invariant states; Symplectic group;

D O I：

10.1016/j.aim.2020.107445

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given an abelian group G endowed with a T = R/Z-presymplectic form, we assign to it a symplectic twisted group *-algebra WG and then we provide criteria for the uniqueness of states invariant under the ergodic action of the symplectic group of automorphism. As an application, we discuss the notion of natural states in quantum abelian Chern-Simons theory. (c) 2020 Elsevier Inc. All rights reserved.

引用

页数：37

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