4 research outputs found
-contractibility and -Connes amenability coincide with some older notions
It is shown that various definitions of -Connes amenability as
introduced independently in \cite{Gh-Ja, mah, Sh-Am}, are just rediscovering
existing notions and presenting them in different ways. It is also proved that
even -contractibility as defined in \cite{Sangani}, is equivalent to
an older and simpler concept.Comment: 4 page
Character Connes amenability of dual Banach algebras
summary:We study the notion of character Connes amenability of dual Banach algebras and show that if is an Arens regular Banach algebra, then is character Connes amenable if and only if is character amenable, which will resolve positively Runde's problem for this concept of amenability. We then characterize character Connes amenability of various dual Banach algebras related to locally compact groups. We also investigate character Connes amenability of Lau product and module extension of Banach algebras. These help us to give examples of dual Banach algebras which are not Connes amenable