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 TMF, 1978, Volume 37, Number 1, Pages 3–11 (Mi tmf3092)

Simplicity of the quasilocal algebra of the system of canonical anticommutation relations with compact gauge group

K. Yu. Dadashyan, S. S. Horuzhy

Abstract: A study is made of a system of canonical anticommutation relations whose physical observables are distinguished by gauge invariance under an arbitrary compact gauge group. It is shown that the $C^*$-algebra of quasilocal observables of such a system is simple. In contrast to the usual methods of investigating canonical anticommutalion relations, the proof is based on the properties of local algebras.

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English version:
Theoretical and Mathematical Physics, 1978, 37:1, 837–842

Bibliographic databases:

Citation: K. Yu. Dadashyan, S. S. Horuzhy, “Simplicity of the quasilocal algebra of the system of canonical anticommutation relations with compact gauge group”, TMF, 37:1 (1978), 3–11; Theoret. and Math. Phys., 37:1 (1978), 837–842

Citation in format AMSBIB
\Bibitem{DadHor78} \by K.~Yu.~Dadashyan, S.~S.~Horuzhy \paper Simplicity of the quasilocal algebra of the system of canonical anticommutation relations with compact gauge group \jour TMF \yr 1978 \vol 37 \issue 1 \pages 3--11 \mathnet{http://mi.mathnet.ru/tmf3092} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=514131} \transl \jour Theoret. and Math. Phys. \yr 1978 \vol 37 \issue 1 \pages 837--842 \crossref{https://doi.org/10.1007/BF01036282}