$O_\infty$ Realized on Bose Fock Space

Physics – Mathematical Physics

Scientific paper

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20 pages, Latex, uses amsmath

Scientific paper

10.1007/s002200050393

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

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