On an open problem by nasr-isfahani on strict inner amenability

Abstract

For two locally compact groups G and H, we show that if L1(G) is strictly inner amenable, then L1(G × H) is strictly inner amenable. We then apply this result to show that there is a large class of locally compact groups G such that L1(G) is strictly inner amenable, but G is not even inner amenable. © 2013 Akadémiai Kiadó, Budapest.