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Operator algebras associated with unitary commutation relations

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Operator algebras associated with unitary commutation relations. / Power, Stephen; Solel, Baruch.
In: Journal of Functional Analysis, Vol. 260, No. 6, 15.03.2011, p. 1583-1614.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Power, S & Solel, B 2011, 'Operator algebras associated with unitary commutation relations', Journal of Functional Analysis, vol. 260, no. 6, pp. 1583-1614. https://doi.org/10.1016/j.jfa.2010.12.013

APA

Power, S., & Solel, B. (2011). Operator algebras associated with unitary commutation relations. Journal of Functional Analysis, 260(6), 1583-1614. https://doi.org/10.1016/j.jfa.2010.12.013

Vancouver

Power S, Solel B. Operator algebras associated with unitary commutation relations. Journal of Functional Analysis. 2011 Mar 15;260(6):1583-1614. doi: 10.1016/j.jfa.2010.12.013

Author

Power, Stephen ; Solel, Baruch. / Operator algebras associated with unitary commutation relations. In: Journal of Functional Analysis. 2011 ; Vol. 260, No. 6. pp. 1583-1614.

Bibtex

@article{c6f1f92e56ab4771823755346ae4d640,
title = "Operator algebras associated with unitary commutation relations",
abstract = "We define nonselfadjoint operator algebras with generators Le1,…,Len, Lf1,…,Lfm subject to the unitary commutation relations of the form (View the MathML source) where u=(ui,j,k,l) is an nm×nm unitary matrix. These algebras, which generalise the analytic Toeplitz algebras of rank 2 graphs with a single vertex, are classified up to isometric isomorphism in terms of the matrix u.",
keywords = "Operator algebras, commutation relations",
author = "Stephen Power and Baruch Solel",
year = "2011",
month = mar,
day = "15",
doi = "10.1016/j.jfa.2010.12.013",
language = "English",
volume = "260",
pages = "1583--1614",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "6",

}

RIS

TY - JOUR

T1 - Operator algebras associated with unitary commutation relations

AU - Power, Stephen

AU - Solel, Baruch

PY - 2011/3/15

Y1 - 2011/3/15

N2 - We define nonselfadjoint operator algebras with generators Le1,…,Len, Lf1,…,Lfm subject to the unitary commutation relations of the form (View the MathML source) where u=(ui,j,k,l) is an nm×nm unitary matrix. These algebras, which generalise the analytic Toeplitz algebras of rank 2 graphs with a single vertex, are classified up to isometric isomorphism in terms of the matrix u.

AB - We define nonselfadjoint operator algebras with generators Le1,…,Len, Lf1,…,Lfm subject to the unitary commutation relations of the form (View the MathML source) where u=(ui,j,k,l) is an nm×nm unitary matrix. These algebras, which generalise the analytic Toeplitz algebras of rank 2 graphs with a single vertex, are classified up to isometric isomorphism in terms of the matrix u.

KW - Operator algebras

KW - commutation relations

U2 - 10.1016/j.jfa.2010.12.013

DO - 10.1016/j.jfa.2010.12.013

M3 - Journal article

VL - 260

SP - 1583

EP - 1614

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 6

ER -