scholarly journals Approximate amenability of semigroup algebras and Segal algebras

2010 ◽  
Vol 474 ◽  
pp. 1-58 ◽  
Author(s):  
H. G. Dales ◽  
R. J. Loy
Keyword(s):  
Semigroup Algebras ◽  
Approximate Amenability ◽  
Segal Algebras

A note on the approximate amenability of semigroup algebras

2009 ◽  
Vol 79 (2) ◽  
pp. 349-354 ◽  
Author(s):  
Filofteia Gheorghe ◽  
Yong Zhang
Keyword(s):  
Semigroup Algebras ◽  
Approximate Amenability

Module Approximate Amenability for Semigroup Algebras

2009 ◽  
Vol 9 (12) ◽  
pp. 2348-2350
Author(s):  
Taher Yazdanpana ◽  
Hashem Najafi
Keyword(s):  
Semigroup Algebras ◽  
Approximate Amenability

scholarly journals APPROXIMATE AMENABILITY OF SEGAL ALGEBRAS

2013 ◽  
Vol 95 (1) ◽  
pp. 20-35 ◽  
Author(s):  
MAHMOOD ALAGHMANDAN
Keyword(s):  
Abelian Group ◽  
Compact Abelian Group ◽  
Amenable Group ◽  
Locally Compact Abelian Group ◽  
Compact Groups ◽  
Fourier Algebra ◽  
Locally Compact ◽  
Segal Algebra ◽  
Approximate Amenability ◽  
Segal Algebras

AbstractIn this paper we first show that for a locally compact amenable group $G$, every proper abstract Segal algebra of the Fourier algebra on $G$ is not approximately amenable; consequently, every proper Segal algebra on a locally compact abelian group is not approximately amenable. Then using the hypergroup generated by the dual of a compact group, it is shown that all proper Segal algebras of a class of compact groups including the $2\times 2$ special unitary group, $\mathrm{SU} (2)$, are not approximately amenable.

Approximate Amenability of Certain Semigroup Algebras

2005 ◽  
Vol 71 (2) ◽  
pp. 312-322 ◽  
Author(s):  
M. Lashkarizadeh Bami ◽  
H. Samea
Keyword(s):  
Semigroup Algebras ◽  
Approximate Amenability

scholarly journals Morita Equivalence of Brandt Semigroup Algebras

2012 ◽  
Vol 2012 ◽  
pp. 1-7
Author(s):  
Maysam Maysami Sadr
Keyword(s):  
Banach Algebras ◽  
Morita Equivalence ◽  
Brandt Semigroup ◽  
Semigroup Algebras ◽  
Homology Groups ◽  
Fixed Group ◽  
Morita Theory ◽  
Morita Invariant ◽  
Brandt Semigroups ◽  
Approximate Amenability

We show that Banach semigroup algebras of any two Brandt semigroups over a fixed group are Morita equivalence with respect to the Morita theory of self-induced Banach algebras introduced by Grønbæk. As applications, we show that the bounded Hochschild (co)homology groups of Brandt semigroup algebras over amenable groups are trivial and prove that the notion of approximate amenability is not Morita invariant.

Approximate amenability of certain inverse semigroup algebras

2013 ◽  
Vol 33 (2) ◽  
pp. 565-577 ◽  
Author(s):  
Mehdi ROSTAMI ◽  
Abdolrasoul POURABBAS ◽  
Morteza ESSMAILI
Keyword(s):  
Inverse Semigroup ◽  
Semigroup Algebras ◽  
Approximate Amenability

scholarly journals Approximate Amenability of Segal Algebras II

2015 ◽  
Vol 58 (1) ◽  
pp. 3-6 ◽  
Author(s):  
Mahmood Alaghmandan
Keyword(s):  
Segal Algebra ◽  
Approximate Amenability ◽  
Segal Algebras

AbstractWe prove that no proper Segal algebra of a SIN group is approximately amenable.

Spectra in Some Inverse Semigroup Algebras

2004 ◽  
Vol 104 (2) ◽  
pp. 211-218 ◽  
Author(s):  
M. J. Crabb ◽  
J. Duncan ◽  
C. M. McGregor
Keyword(s):  
Inverse Semigroup ◽  
Semigroup Algebras
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