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Representation theory of U1( H) in the symmetric tensors
Journal article   Peer reviewed

Representation theory of U1( H) in the symmetric tensors

Robert P Boyer
Journal of functional analysis, v 78(1), pp 13-23
1988

Abstract

The representations of the group of unitary operators which are trace-class perturbations of the identity on an infinite-dimensional separable Hilbert space are classified according to factoriality, quasi-equivalence, and semifiniteness, by relating these representations to the quasi-free representations of the Weyl algebra. This answers the problem posed by Ş. Strǎtilǎ and D. Voiculescu (Lecture Notes in Mathematics, Vol. 486, Springer-Verlag, Berlin/New York, 1975).

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