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Quasifree representations of Clifford algebras

Published online by Cambridge University Press:  24 October 2008

P. L. Robinson
P. L. Robinson
Affiliation:
Department of Mathematics, University of Florida, Gainesville, FL 32611, U.S.A.
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Extract

Let V be an infinite-dimensional real Hilbert space with associated C* Clifford algebra C[V]. To any state σ of the C* algebra C[V] there corresponds a skew-adjoint operator C of norm at most unity on V such that

we refer to C as the covariance of the state σ.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 113 , Issue 3 , May 1993 , pp. 487 - 497
Copyright
Copyright © Cambridge Philosophical Society 1993

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References

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