Complex sentence: One of the main features distinguishing this new approach from its predecessors is the axiomatic existence of left and right invariant weights, which gives a noncommutative analogue of left and right Haar measures on a locally compact Hausdorff group.
Split into simpler sentences: One of the main features distinguishing this new approach from its predecessors is the axiomatic existence of left and right invariant weights. This gives a noncommutative analogue of left and right Haar measures on a locally compact Hausdorff group.