Extensions of Quasi-Free Derivations on the CAR algebra
Geoffrey L. Price
Indiana University Purdue University Indianapolis, USA
![Extensions of Quasi-Free Derivations on the CAR algebra cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-19-issue-1.png&w=3840&q=90)
Abstract
We classify all of the infinitesimal generator extensions of a particular quasi-free derivation δ_A_ on the CAR (canonical anticommutation relations) algebra, where A is an unbounded symmetric operator on a Hilbert space having deficiency indices (1,1). We show that each of these extensions generates a strongly continuous one-parameter group of Bogoliubov transformations of the CAR algebra.
Cite this article
Geoffrey L. Price, Extensions of Quasi-Free Derivations on the CAR algebra. Publ. Res. Inst. Math. Sci. 19 (1983), no. 1, pp. 345–354
DOI 10.2977/PRIMS/1195182992