Perturbations of ground states of type $\textrm {I}$ $C^{\ast }$-algebras
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- by C. J. K. Batty
- Proc. Amer. Math. Soc. 78 (1980), 539-544
- DOI: https://doi.org/10.1090/S0002-9939-1980-0556628-9
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Abstract:
It is shown that the class of irreducible representations of a type I ${C^\ast }$-algebra A which satisfy a spectrum condition for a given dynamical system on A is unchanged if the system undergoes a sufficiently small relatively bounded perturbation. It follows that if A is also unital, then the existence of ground states is unaffected by such perturbations.References
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Bibliographic Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 539-544
- MSC: Primary 46L30; Secondary 81C12, 82A15
- DOI: https://doi.org/10.1090/S0002-9939-1980-0556628-9
- MathSciNet review: 556628