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BIFLATNESS AND BIPROJECTIVITY OF BANACH ALGEBRAS GRADED OVER A SEMILATTICE

Published online by Cambridge University Press:  25 August 2010

NIELS GRØNBÆK  and
FEREIDOUN HABIBIAN
NIELS GRØNBÆK
Affiliation:
Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark e-mail: gronbaek@math.ku.dk
FEREIDOUN HABIBIAN
Affiliation:
Department of Mathematics, Semnan University, Semnan, Iran e-mail: fhabibian@semnan.ac.ir
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Abstract

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We give sufficient conditions and necessary conditions for a Banach algebra, which is ℓ1-graded over a semi-lattice, to be biflat or biprojective. As an application we characterise biflat and biprojective discrete convolution algebras for commutative semi-groups.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 3 , September 2010 , pp. 479 - 495
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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