Antisymmetries of the CAR algebra

Stacey, P.

doi:10.1090/S0002-9947-2011-05263-3

Antisymmetries of the CAR algebra
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by P. J. Stacey; with an appendix by Jeffrey L. Boersema; with an appendix by N. Christopher Phillips PDF

Trans. Amer. Math. Soc. 363 (2011), 6439-6452 Request permission

Abstract:

Let $A$ be a uniformly hyperfinite $C^*$-algebra with infinitely many $2 \times 2$ matrix factors. It is shown that, up to conjugacy, there is a unique antisymmetry (involutory $*$-antiautomorphism) of $A$.

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