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ZL-amenability and characters for the group algebras of restricted direct products of finite groups

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ZL-amenability and characters for the group algebras of restricted direct products of finite groups. / Alaghmandan, Mahmood; Choi, Yemon; Samei, Ebrahim.
In: Journal of Mathematical Analysis and Applications, Vol. 411, No. 1, 01.03.2014, p. 314-328.

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

Harvard

Alaghmandan, M, Choi, Y & Samei, E 2014, 'ZL-amenability and characters for the group algebras of restricted direct products of finite groups', Journal of Mathematical Analysis and Applications, vol. 411, no. 1, pp. 314-328. https://doi.org/10.1016/j.jmaa.2013.09.030

APA

Alaghmandan, M., Choi, Y., & Samei, E. (2014). ZL-amenability and characters for the group algebras of restricted direct products of finite groups. Journal of Mathematical Analysis and Applications, 411(1), 314-328. https://doi.org/10.1016/j.jmaa.2013.09.030

Vancouver

Alaghmandan M, Choi Y, Samei E. ZL-amenability and characters for the group algebras of restricted direct products of finite groups. Journal of Mathematical Analysis and Applications. 2014 Mar 1;411(1):314-328. doi: 10.1016/j.jmaa.2013.09.030

Author

Alaghmandan, Mahmood ; Choi, Yemon ; Samei, Ebrahim. / ZL-amenability and characters for the group algebras of restricted direct products of finite groups. In: Journal of Mathematical Analysis and Applications. 2014 ; Vol. 411, No. 1. pp. 314-328.

Bibtex

@article{59e5f4c67e42460b93aa6b394bcaf24e,
title = "ZL-amenability and characters for the group algebras of restricted direct products of finite groups",
abstract = "Let $G$ be a restricted direct product of finite groups $\{ G_i \}_{i\in I}$, and let $\Zl^1(G)$ denote the centre of its group algebra. We show that $\Zl^1(G)$ is amenable if and only if $G_i$ is abelian for all but finitely many $i$, and characterize the maximal ideals of $\Zl^1(G)$ which have bounded approximate identities. We also study when an algebra character of $\Zl^1(G)$ belongs to $c_0$ or $\ell^p$ and provide a variety of examples. ",
author = "Mahmood Alaghmandan and Yemon Choi and Ebrahim Samei",
year = "2014",
month = mar,
day = "1",
doi = "10.1016/j.jmaa.2013.09.030",
language = "English",
volume = "411",
pages = "314--328",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "1",

}

RIS

TY - JOUR

T1 - ZL-amenability and characters for the group algebras of restricted direct products of finite groups

AU - Alaghmandan, Mahmood

AU - Choi, Yemon

AU - Samei, Ebrahim

PY - 2014/3/1

Y1 - 2014/3/1

N2 - Let $G$ be a restricted direct product of finite groups $\{ G_i \}_{i\in I}$, and let $\Zl^1(G)$ denote the centre of its group algebra. We show that $\Zl^1(G)$ is amenable if and only if $G_i$ is abelian for all but finitely many $i$, and characterize the maximal ideals of $\Zl^1(G)$ which have bounded approximate identities. We also study when an algebra character of $\Zl^1(G)$ belongs to $c_0$ or $\ell^p$ and provide a variety of examples.

AB - Let $G$ be a restricted direct product of finite groups $\{ G_i \}_{i\in I}$, and let $\Zl^1(G)$ denote the centre of its group algebra. We show that $\Zl^1(G)$ is amenable if and only if $G_i$ is abelian for all but finitely many $i$, and characterize the maximal ideals of $\Zl^1(G)$ which have bounded approximate identities. We also study when an algebra character of $\Zl^1(G)$ belongs to $c_0$ or $\ell^p$ and provide a variety of examples.

U2 - 10.1016/j.jmaa.2013.09.030

DO - 10.1016/j.jmaa.2013.09.030

M3 - Journal article

VL - 411

SP - 314

EP - 328

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -