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Title: Symmetric structure of field algebra of G-spin models determined by a normal subgroup

Abstract

Let G be a finite group and H a normal subgroup. D(H; G) is the crossed product of C(H) and CG which is only a subalgebra of D(G), the double algebra of G. One can construct a C*-subalgebra F{sub H} of the field algebra F of G-spin models, so that F{sub H} is a D(H; G)-module algebra, whereas F is not. Then the observable algebra A{sub (H,G)} is obtained as the D(H; G)-invariant subalgebra of F{sub H}, and there exists a unique C*-representation of D(H; G) such that D(H; G) and A{sub (H,G)} are commutants with each other.

Authors:
;  [1]
  1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081 (China)
Publication Date:
OSTI Identifier:
22305869
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 55; Journal Issue: 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; FIELD ALGEBRA; MATHEMATICAL MODELS; SPIN; SYMMETRY

Citation Formats

Xin, Qiaoling, E-mail: xinqiaoling0923@163.com, and Jiang, Lining, E-mail: jianglining@bit.edu.cn. Symmetric structure of field algebra of G-spin models determined by a normal subgroup. United States: N. p., 2014. Web. doi:10.1063/1.4896327.
Xin, Qiaoling, E-mail: xinqiaoling0923@163.com, & Jiang, Lining, E-mail: jianglining@bit.edu.cn. Symmetric structure of field algebra of G-spin models determined by a normal subgroup. United States. doi:10.1063/1.4896327.
Xin, Qiaoling, E-mail: xinqiaoling0923@163.com, and Jiang, Lining, E-mail: jianglining@bit.edu.cn. Mon . "Symmetric structure of field algebra of G-spin models determined by a normal subgroup". United States. doi:10.1063/1.4896327.
@article{osti_22305869,
title = {Symmetric structure of field algebra of G-spin models determined by a normal subgroup},
author = {Xin, Qiaoling, E-mail: xinqiaoling0923@163.com and Jiang, Lining, E-mail: jianglining@bit.edu.cn},
abstractNote = {Let G be a finite group and H a normal subgroup. D(H; G) is the crossed product of C(H) and CG which is only a subalgebra of D(G), the double algebra of G. One can construct a C*-subalgebra F{sub H} of the field algebra F of G-spin models, so that F{sub H} is a D(H; G)-module algebra, whereas F is not. Then the observable algebra A{sub (H,G)} is obtained as the D(H; G)-invariant subalgebra of F{sub H}, and there exists a unique C*-representation of D(H; G) such that D(H; G) and A{sub (H,G)} are commutants with each other.},
doi = {10.1063/1.4896327},
journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 9,
volume = 55,
place = {United States},
year = {2014},
month = {9}
}