JournalsprimsVol. 19 , No. 1DOI 10.2977/prims/1195182992

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

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.