# Must a locally compact group be Hausdorff in order to possess a Haar measure?

Does the existence of (left) Haar measure on a locally compact topological group require that the group be Hausdorff?

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No, you can do the usual construction on the Kolmogorov quotient (which is locally compact Hausdorff) and pull the measure back on the original group. –  François G. Dorais Apr 28 '10 at 3:39
Perhaps I'm missing something obvious, but I'm not sure about "pull the measure back". Generally one can push measures forward though. –  Todd Trimble Dec 29 '12 at 23:56