If you overlay a chart of inflation on top of the chart of inequality you will find that maximum equality appears to correspond closely to periods of maximum inflation.
Governments from both sides of the argument have focused on reducing collective bargaining and on ensuring that efforts to rejuvenate economies, like quantitative easing via the financial sector and tax breaks are focused on the corporations and wealthy precisely because of the low impact this can have on inflation
The effect of these measures tends to pump money into the already wealthy while bulk of the population experience no-change.