Representation theory of U1(H) in the symmetric tensors

Boyer, Robert P.

doi:10.1016/0022-1236(88)90129-2

Cited by 4 publications

(5 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…We do not know if U 1 (ℓ 2 ) is SUR. We also remark that Boyer [Bo80,Bo88] studied a family of strongly continuous unitary representations of U 1 (ℓ 2 ) and U 2 (ℓ 2 ) .…”

Section: Norm Unitary Representability (Nur)mentioning

confidence: 97%

Polish groups of unitaries

Ando,

Matsuzawa

2019

Preprint

View full text Add to dashboard Cite

We study the question of which Polish groups can be realized as subgroups of the unitary group of a separable infinite-dimensional Hilbert space. We also show that for a separable unital C * -algebra A, the identity component U0(A) of its unitary group has property (OB) of Rosendal (hence it also has property (FH)) if and only if the algebra has finite exponential length (e.g. if it has real rank zero), while in many cases the unitary group U(A) does not have property (T). On the other hand, the p-unitary group Up(M, τ ) where M is a properly infinite semifinite von Neumann algbera with separable predual, does not have property (FH) for any 1 ≤ p < ∞. This in particular solves a problem left unanswered in the work of Pestov [Pe18].

show abstract

“…We do not know if U 1 (ℓ 2 ) is SUR. We also remark that Boyer [Bo80,Bo88] studied a family of strongly continuous unitary representations of U 1 (ℓ 2 ) and U 2 (ℓ 2 ) .…”

Section: Norm Unitary Representability (Nur)mentioning

confidence: 97%

Polish groups of unitaries

Ando,

Matsuzawa

2019

Preprint

View full text Add to dashboard Cite

show abstract

“…We now indicate how the KMS positive definite functions introduced in [16] extend continuously to U and are semifinite factor representations. In general, it is a difficult problem to decide if a such a KMS positive definite function is factor, see [16,2].…”

Section: Inductive Limit Groups and Their Representationsmentioning

confidence: 99%

“…are given in terms of the quasi-free representations of the CAR, respectively, CCR algebras. See [2,16].…”

Section: Inductive Limit Groups and Their Representationsmentioning

confidence: 99%

See 1 more Smart Citation

Factor representations of diffeomorphism groups

Boyer

2003

Studia Math.

View full text Add to dashboard Cite

Abstract. 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.

show abstract

“…Conforme MASON & CAPEWELL(1986), a agitação não afeta apenas a característica do resfriamento, mas também diminui o risco de fogo durante o resfriamento em óleos, devido ao aumento excessivo da temperatura do banho, que pode atingir o ponto de fulgor. concentração exerce forte influência nas características de resfriamento das soluções, no caso dos polímeros e soluções de sais.SegundoBOYER (1988), nas têmperas convencionais realizadas com solução de c1oreto de sódio (NaCI), tem-se observado que uma concentração de10% é mais efetiva do ponto de vista do endurecimento. A figura 19 mostra uma relação entre dureza e concentração de sal como meio de têmpera.…”

unclassified

Análise da influência da concentração e temperatura nas características de resfriamento das soluções do sal AWS-20 usados na têmpera

Messias¹

View full text Add to dashboard Cite

orientação fomecida durante a elaboração deste trabalho. Ao Professor Dr. Ovídio Richard Cmkovic, pela coorientação fomecida durante a elaboração deste trabalho. Aos técnicos a funcianárloa 00 Departamento da Engenharia de Materiais da EESC-USP e, em especial ao Eliezer Dias Francisco, pela valiosa colaboraçãCl napartapraticadeste_trabalho. ÀCoordAflaGão-.Ge-Aperfei~-Cle-J2essoal J:1e-NiveJ-S~l'Jerior (CAPES) pela bolsa de estudo concedida. À BRASIMET Comércio-emdústria-SJA, pelo fornecimento dç sal para têmpera AWS-20. A todos que direta ou _indiretamente, contribuíram para esta realização.

show abstract

Representation theory of U1(H) in the symmetric tensors

Cited by 4 publications

References 17 publications

Polish groups of unitaries

Polish groups of unitaries

Factor representations of diffeomorphism groups

Análise da influência da concentração e temperatura nas características de resfriamento das soluções do sal AWS-20 usados na têmpera

Contact Info

Product

Resources

About