On some nonextendable derivations of the gauge-invariant CAR algebra

Price, Geoffrey L.

doi:10.1090/S0002-9947-1984-0748837-9

On some nonextendable derivations of the gauge-invariant CAR algebra
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Trans. Amer. Math. Soc. 285 (1984), 185-201 Request permission

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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algebras and their applications to representations of the anti-commutation relations

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