Universal fermionization of bosons on permutative representations of the Cuntz algebra ${\mathcal{O}}_2$

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 ${\mathcal{O}}_2$. As examples, we show fermionizations on the Fock space and the infinite wedge.

arXiv comment12 pages

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Cited by in corpus (3)

• Purely atomic representations of higher-rank graph C*-algebras
• Representations of Cuntz algebras associated to quasi-invariant Markov measures
• Pure states on Cuntz algebras arising from geometric progressions