https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Factorization in finite-codimensional ideals of group algebras https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:1138 Wed 11 Apr 2018 11:36:36 AEST ]]> An extension of a non-commutative Choquet-Deny Theorem https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11616 N : ℓ¹(G) → ℓ¹(G/N). It is shown that the kernel of this map may be decomposed as ker(TN) = R + L, where R is a closed right ideal with a bounded left approximate identity and L is a closed left ideal with a bounded right approximate identity. It follows from this fact that, if I is a closed two-sided ideal in ℓ¹(G), then TN(I) is closed in ℓ¹(G/N). This answers a question of Reiter.]]> Wed 11 Apr 2018 10:31:58 AEST ]]> Amenable and weakly amenable Banach algebras with compact multiplication https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11618 Sat 24 Mar 2018 10:32:28 AEDT ]]> Derivations on group algebras https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11617 N DN⊥$, where DN and DN⊥ can be tackled with different techniques. Under suitable conditions, all satisfied by T² ⋊ SL(2,Z}, we can show that DN is implemented by an element of VN(G) and that DN⊥ is implemented by a measure.]]> Sat 24 Mar 2018 10:32:28 AEDT ]]>