Czasopismo
Tytuł artykułu
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Warianty tytułu
Języki publikacji
Abstrakty
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.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
105-120
Opis fizyczny
Daty
wydano
2003
Twórcy
autor
- Department of Mathematics, Drexel University, Philadelphia, PA 19104, U.S.A.
Bibliografia
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm156-2-2