Conjugate convolution and characterizations of inner amenable locally compact groups

For locally compact group G, we give some characterizations of inner amenability of G by conjugate convolution operations. Moreover, we study multiples of positive elements in group algebra L1(G), whenever G is inner amenable.

Conjugate convolution and characterizations of inner amenable locally compact groups

For locally compact group G, we give some characterizations of inner amenability of G by conjugate convolution operations. Moreover, we study multiples of positive elements in group algebra L1(G), whenever G is inner amenable.