However, "the clothes themselves are very loose (rather like Roman togas). The extra heat caused by the black colour causes increased upward convection of the air between the cloth and their body. This additional air circulation actually aids in evaporation of persiration and thus results in better cooling" - so probably doesn't apply for lycra...
"Why do Bedouins wear black robes in hot deserts?"
http://www.nature.com/nature/journal/v283/n5745/abs/283373a0.html
However, "the clothes themselves are very loose (rather like Roman togas). The extra heat caused by the black colour causes increased upward convection of the air between the cloth and their body. This additional air circulation actually aids in evaporation of persiration and thus results in better cooling" - so probably doesn't apply for lycra...