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Factor representations of diffeomorphism groups

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Boyer R.

Studia Mathematica

2003

tom 156

nr 2

105-120

We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in operator algebras. We also compare the asymptotic character formula for the unitary group with the thermodynamic (N/V) limit construction for diffeomorphism group representations.

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1 Studia Mathematica

1 Boyer R.

1 2003

Wyniki wyszukiwania

Factor representations of diffeomorphism groups