Factor representations of diffeomorphism groups

• Autorzy: Robert P. Boyer
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46L99: None of the above, but in this section
• 81R10: Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, W -algebras and other current algebras and their representations
• 22E65: Infinite-dimensional Lie groups and their Lie algebras: general properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 156
• Numer: 2
• Strony: 105-120

Daty

wydano

2003

Twórcy

autor

Robert P. Boyer

• Department of Mathematics, Drexel University, Philadelphia, PA 19104, U.S.A.

Identyfikatory

DOI

10.4064/sm156-2-2