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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On some nonextendable derivations of the gauge-invariant CAR algebra


Author: Geoffrey L. Price
Journal: Trans. Amer. Math. Soc. 285 (1984), 185-201
MSC: Primary 46L40; Secondary 46L55
DOI: https://doi.org/10.1090/S0002-9947-1984-0748837-9
MathSciNet review: 748837
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Abstract: We provide examples of some approximately inner, commutative $ \ast$-derivations which are generators on the gauge-invariant CAR algebra but which have no closed densely-defined extensions to the CAR. Necessary conditions are given for a class of generators on the GICAR algebra to extend to closed $ \ast$-derivations on the CAR.


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DOI: https://doi.org/10.1090/S0002-9947-1984-0748837-9
Keywords: Derivation, CAR algebra, GICAR algebra, generator
Article copyright: © Copyright 1984 American Mathematical Society