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  • 1205.4354v4

    Rights statement: http://journals.cambridge.org/action/displayJournal?jid=GMJ The final, definitive version of this article has been published in the Journal, Glasgow Mathematical Journal, 57 (3), pp 693-707 2015, © 2015 Cambridge University Press.

    Accepted author manuscript, 155 KB, PDF document

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  • 2014-05-12_gmj_acceptance

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Directly finite algebras of pseudofunctions on locally compact groups

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

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Directly finite algebras of pseudofunctions on locally compact groups. / Choi, Yemon.
In: Glasgow Mathematical Journal, Vol. 57, No. 3, 09.2015, p. 693-707.

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

Harvard

Choi, Y 2015, 'Directly finite algebras of pseudofunctions on locally compact groups', Glasgow Mathematical Journal, vol. 57, no. 3, pp. 693-707. https://doi.org/10.1017/S0017089514000573

APA

Choi, Y. (2015). Directly finite algebras of pseudofunctions on locally compact groups. Glasgow Mathematical Journal, 57(3), 693-707. https://doi.org/10.1017/S0017089514000573

Vancouver

Choi Y. Directly finite algebras of pseudofunctions on locally compact groups. Glasgow Mathematical Journal. 2015 Sept;57(3):693-707. Epub 2014 Dec 17. doi: 10.1017/S0017089514000573

Author

Choi, Yemon. / Directly finite algebras of pseudofunctions on locally compact groups. In: Glasgow Mathematical Journal. 2015 ; Vol. 57, No. 3. pp. 693-707.

Bibtex

@article{797b55c8e5da4c81b099db763f0d9f67,
title = "Directly finite algebras of pseudofunctions on locally compact groups",
abstract = "An algebra $A$ is said to be directly finite if each left-invertible elementin the (conditional) unitization of $A$ is right invertible. We show that the reduced group $C^*$-algebra of a unimodular group is directly finite, extending known results for the discrete case. We also investigate the corresponding problem for algebras of $p$-pseudofunctions, showing that these algebras are directly finite if $G$ is amenable and unimodular, or unimodular with the Kunze--Stein property.An exposition is also given of how existing results from the literature imply that $L^1(G)$ is not directly finite when $G$ is the affine group of either the real or complex line.",
author = "Yemon Choi",
note = " http://journals.cambridge.org/action/displayJournal?jid=GMJ The final, definitive version of this article has been published in the Journal, Glasgow Mathematical Journal, 57 (3), pp 693-707 2015, {\textcopyright} 2015 Cambridge University Press.",
year = "2015",
month = sep,
doi = "10.1017/S0017089514000573",
language = "English",
volume = "57",
pages = "693--707",
journal = "Glasgow Mathematical Journal",
issn = "0017-0895",
publisher = "Cambridge University Press",
number = "3",

}

RIS

TY - JOUR

T1 - Directly finite algebras of pseudofunctions on locally compact groups

AU - Choi, Yemon

N1 - http://journals.cambridge.org/action/displayJournal?jid=GMJ The final, definitive version of this article has been published in the Journal, Glasgow Mathematical Journal, 57 (3), pp 693-707 2015, © 2015 Cambridge University Press.

PY - 2015/9

Y1 - 2015/9

N2 - An algebra $A$ is said to be directly finite if each left-invertible elementin the (conditional) unitization of $A$ is right invertible. We show that the reduced group $C^*$-algebra of a unimodular group is directly finite, extending known results for the discrete case. We also investigate the corresponding problem for algebras of $p$-pseudofunctions, showing that these algebras are directly finite if $G$ is amenable and unimodular, or unimodular with the Kunze--Stein property.An exposition is also given of how existing results from the literature imply that $L^1(G)$ is not directly finite when $G$ is the affine group of either the real or complex line.

AB - An algebra $A$ is said to be directly finite if each left-invertible elementin the (conditional) unitization of $A$ is right invertible. We show that the reduced group $C^*$-algebra of a unimodular group is directly finite, extending known results for the discrete case. We also investigate the corresponding problem for algebras of $p$-pseudofunctions, showing that these algebras are directly finite if $G$ is amenable and unimodular, or unimodular with the Kunze--Stein property.An exposition is also given of how existing results from the literature imply that $L^1(G)$ is not directly finite when $G$ is the affine group of either the real or complex line.

U2 - 10.1017/S0017089514000573

DO - 10.1017/S0017089514000573

M3 - Journal article

VL - 57

SP - 693

EP - 707

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

SN - 0017-0895

IS - 3

ER -