On the maximality of subdiagonal algebras

Quanhua Xu

On the maximality of subdiagonal algebras

Quanhua Xu^*

^*Corresponding author for this work

CNRS

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We consider Arveson's problem on the maximality of subdiagonal algebras. We prove that a subdiagonal algebra is maximal if it is invariant under the modular group of a faithful normal state which is preserved by the conditional expectation associated with the subdiagonal algebra.

Original language	English
Pages (from-to)	137-146
Number of pages	10
Journal	Journal of Operator Theory
Volume	54
Issue number	1
State	Published - Jun 2005
Externally published	Yes

Keywords

Conditional expectation
Maximality
Modular group
Subdiagonal algebra

Cite this

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title = "On the maximality of subdiagonal algebras",

abstract = "We consider Arveson's problem on the maximality of subdiagonal algebras. We prove that a subdiagonal algebra is maximal if it is invariant under the modular group of a faithful normal state which is preserved by the conditional expectation associated with the subdiagonal algebra.",

keywords = "Conditional expectation, Maximality, Modular group, Subdiagonal algebra",

author = "Quanhua Xu",

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language = "英语",

volume = "54",

pages = "137--146",

journal = "Journal of Operator Theory",

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AU - Xu, Quanhua

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AB - We consider Arveson's problem on the maximality of subdiagonal algebras. We prove that a subdiagonal algebra is maximal if it is invariant under the modular group of a faithful normal state which is preserved by the conditional expectation associated with the subdiagonal algebra.

KW - Conditional expectation

KW - Maximality

KW - Modular group

KW - Subdiagonal algebra

UR - https://www.scopus.com/pages/publications/27844464906

M3 - 文章

AN - SCOPUS:27844464906

SN - 0379-4024

VL - 54

SP - 137

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JO - Journal of Operator Theory

JF - Journal of Operator Theory

IS - 1

ER -

On the maximality of subdiagonal algebras

Abstract

Keywords

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