Home > Research > Publications & Outputs > Simplicial homology of strong semilattices of B...

Research

Associated organisational units

Links

View graph of relations

Simplicial homology of strong semilattices of Banach algebras

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

Published

Standard

Simplicial homology of strong semilattices of Banach algebras. / Choi, Yemon.
In: Houston Journal of Mathematics, Vol. 36, No. 1, 2010, p. 237-260.

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

Harvard

Choi, Y 2010, 'Simplicial homology of strong semilattices of Banach algebras', Houston Journal of Mathematics, vol. 36, no. 1, pp. 237-260. <http://arxiv.org/abs/math.FA/0609450>

APA

Choi, Y. (2010). Simplicial homology of strong semilattices of Banach algebras. Houston Journal of Mathematics, 36(1), 237-260. http://arxiv.org/abs/math.FA/0609450

Vancouver

Choi Y. Simplicial homology of strong semilattices of Banach algebras. Houston Journal of Mathematics. 2010;36(1):237-260.

Author

Choi, Yemon. / Simplicial homology of strong semilattices of Banach algebras. In: Houston Journal of Mathematics. 2010 ; Vol. 36, No. 1. pp. 237-260.

Bibtex

@article{da924f05534742739212bffa29e3ed98,
title = "Simplicial homology of strong semilattices of Banach algebras",
abstract = "Certain semigroups are known to admit a 'strong semilattice decomposition' into simpler pieces. We introduce a class of Banach algebras that generalise the l1-convolution algebras of such semigroups, and obtain a disintegration theorem for their simplicial homology. Using this we show that for any Clifford semigroup S of amenable groups, l1(S) is simplicially trivial: this generalises previous results of the author (Glasgow Math. Journal, 2006). Some other applications are presented. ",
author = "Yemon Choi",
year = "2010",
language = "English",
volume = "36",
pages = "237--260",
journal = "Houston Journal of Mathematics",
publisher = "University of Houston",
number = "1",

}

RIS

TY - JOUR

T1 - Simplicial homology of strong semilattices of Banach algebras

AU - Choi, Yemon

PY - 2010

Y1 - 2010

N2 - Certain semigroups are known to admit a 'strong semilattice decomposition' into simpler pieces. We introduce a class of Banach algebras that generalise the l1-convolution algebras of such semigroups, and obtain a disintegration theorem for their simplicial homology. Using this we show that for any Clifford semigroup S of amenable groups, l1(S) is simplicially trivial: this generalises previous results of the author (Glasgow Math. Journal, 2006). Some other applications are presented.

AB - Certain semigroups are known to admit a 'strong semilattice decomposition' into simpler pieces. We introduce a class of Banach algebras that generalise the l1-convolution algebras of such semigroups, and obtain a disintegration theorem for their simplicial homology. Using this we show that for any Clifford semigroup S of amenable groups, l1(S) is simplicially trivial: this generalises previous results of the author (Glasgow Math. Journal, 2006). Some other applications are presented.

M3 - Journal article

VL - 36

SP - 237

EP - 260

JO - Houston Journal of Mathematics

JF - Houston Journal of Mathematics

IS - 1

ER -