Universal fermionization of bosons on permutative representations of the Cuntz algebra ${\cal O}_{2}$
arXiv:0811.3480 · doi:10.1063/1.3131688
Abstract
Bosons and fermions are described by using canonical generators of Cuntz algebras on any permutative representation. We show a fermionization of bosons which universally holds on any permutative representation of the Cuntz algebra ${\cal O}_{2}$. As examples, we show fermionizations on the Fock space and the infinite wedge.
12 pages