scholarly journals Approximate amenability of semigroup algebras and Segal algebras

2010 ◽  
Vol 474 ◽  
pp. 1-58 ◽  
Author(s):  
H. G. Dales ◽  
R. J. Loy
2009 ◽  
Vol 79 (2) ◽  
pp. 349-354 ◽  
Author(s):  
Filofteia Gheorghe ◽  
Yong Zhang

2009 ◽  
Vol 9 (12) ◽  
pp. 2348-2350
Author(s):  
Taher Yazdanpana ◽  
Hashem Najafi

2013 ◽  
Vol 95 (1) ◽  
pp. 20-35 ◽  
Author(s):  
MAHMOOD ALAGHMANDAN

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.


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

Author(s):  
Maysam Maysami Sadr

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.


2013 ◽  
Vol 33 (2) ◽  
pp. 565-577 ◽  
Author(s):  
Mehdi ROSTAMI ◽  
Abdolrasoul POURABBAS ◽  
Morteza ESSMAILI

2015 ◽  
Vol 58 (1) ◽  
pp. 3-6 ◽  
Author(s):  
Mahmood Alaghmandan

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


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

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