Towards the Carpenter's theorem

Let M be a II1 factor with trace τ, A ⊆ Ma masa and EA the unique conditional expectation onto A. Under some technical assumptions on the inclusion A⊆M, which hold true for any semiregular masa of a separable factor, we show that for elements a in certain dense families of the positive part of the u...

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Autores principales: Argerami, Martín, Massey, Pedro Gustavo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2009
Materias:
Matemática
Conditional expectations
Diagonals of operators
Schur-Horn theorem
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/82702
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-82702
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Conditional expectations
Diagonals of operators
Schur-Horn theorem
spellingShingle Matemática
Conditional expectations
Diagonals of operators
Schur-Horn theorem
Argerami, Martín
Massey, Pedro Gustavo
Towards the Carpenter's theorem
topic_facet Matemática
Conditional expectations
Diagonals of operators
Schur-Horn theorem
description Let M be a II1 factor with trace τ, A ⊆ Ma masa and EA the unique conditional expectation onto A. Under some technical assumptions on the inclusion A⊆M, which hold true for any semiregular masa of a separable factor, we show that for elements a in certain dense families of the positive part of the unit ball of A, it is possible to find a projection p ∈ M such that EA(p) = a. This shows a new family of instances of a conjecture by Kadison, the so-called "carpenter's theorem".
format Articulo
Articulo
author Argerami, Martín
Massey, Pedro Gustavo
author_facet Argerami, Martín
Massey, Pedro Gustavo
author_sort Argerami, Martín
title Towards the Carpenter's theorem
title_short Towards the Carpenter's theorem
title_full Towards the Carpenter's theorem
title_fullStr Towards the Carpenter's theorem
title_full_unstemmed Towards the Carpenter's theorem
title_sort towards the carpenter's theorem
publishDate 2009
url http://sedici.unlp.edu.ar/handle/10915/82702
work_keys_str_mv AT argeramimartin towardsthecarpenterstheorem
AT masseypedrogustavo towardsthecarpenterstheorem
bdutipo_str Repositorios
_version_ 1764820488543010818

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