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Biflatness of $\ell^1$-semilattice algebras

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Biflatness of $\ell^1$-semilattice algebras. / Choi, Yemon.
In: Semigroup Forum, Vol. 75, No. 2, 10.2007, p. 253-271.

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

Harvard

Choi, Y 2007, 'Biflatness of $\ell^1$-semilattice algebras', Semigroup Forum, vol. 75, no. 2, pp. 253-271. https://doi.org/10.1007/s00233-007-0730-x

APA

Choi, Y. (2007). Biflatness of $\ell^1$-semilattice algebras. Semigroup Forum, 75(2), 253-271. https://doi.org/10.1007/s00233-007-0730-x

Vancouver

Choi Y. Biflatness of $\ell^1$-semilattice algebras. Semigroup Forum. 2007 Oct;75(2):253-271. doi: 10.1007/s00233-007-0730-x

Author

Choi, Yemon. / Biflatness of $\ell^1$-semilattice algebras. In: Semigroup Forum. 2007 ; Vol. 75, No. 2. pp. 253-271.

Bibtex

@article{ffcef46798e94919acdf23987bc82290,
title = "Biflatness of $\ell^1$-semilattice algebras",
abstract = "We show that if L is a semilattice then the l1-convolution algebra of L is biflat precisely when L is {"}uniformly locally finite{"}. Our proof technique shows in passing that if this convolution algebra is biflat then it is isomorphic as a Banach algebra to the Banach space l1(L) equipped with pointwise multiplication. At the end we sketch how these techniques may be extended to prove an analogous characterisation of biflatness for Clifford semigroup algebras. ",
author = "Yemon Choi",
year = "2007",
month = oct,
doi = "10.1007/s00233-007-0730-x",
language = "English",
volume = "75",
pages = "253--271",
journal = "Semigroup Forum",
issn = "1432-2137",
publisher = "Springer New York",
number = "2",

}

RIS

TY - JOUR

T1 - Biflatness of $\ell^1$-semilattice algebras

AU - Choi, Yemon

PY - 2007/10

Y1 - 2007/10

N2 - We show that if L is a semilattice then the l1-convolution algebra of L is biflat precisely when L is "uniformly locally finite". Our proof technique shows in passing that if this convolution algebra is biflat then it is isomorphic as a Banach algebra to the Banach space l1(L) equipped with pointwise multiplication. At the end we sketch how these techniques may be extended to prove an analogous characterisation of biflatness for Clifford semigroup algebras.

AB - We show that if L is a semilattice then the l1-convolution algebra of L is biflat precisely when L is "uniformly locally finite". Our proof technique shows in passing that if this convolution algebra is biflat then it is isomorphic as a Banach algebra to the Banach space l1(L) equipped with pointwise multiplication. At the end we sketch how these techniques may be extended to prove an analogous characterisation of biflatness for Clifford semigroup algebras.

U2 - 10.1007/s00233-007-0730-x

DO - 10.1007/s00233-007-0730-x

M3 - Journal article

VL - 75

SP - 253

EP - 271

JO - Semigroup Forum

JF - Semigroup Forum

SN - 1432-2137

IS - 2

ER -