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$O_\infty$ Realized on Bose Fock Space

Mathematical Physics 2009-10-30 v1 funct-an High Energy Physics - Theory Functional Analysis math.MP

Abstract

We study the semigroup of Bogoliubov endomorphisms of the canonical commutation relations which give rise to representations of the Cuntz algebra OO_\infty on Fock space and describe the corresponding Cuntz algebra generators in detail.

Cite

@article{arxiv.physics/9701011,
  title  = {$O_\infty$ Realized on Bose Fock Space},
  author = {Carsten Binnenhei},
  journal= {arXiv preprint arXiv:physics/9701011},
  year   = {2009}
}

Comments

20 pages, Latex, uses amsmath