Indeed, near the equator, where the Coriolis force is quite weak, a direct circulation of air is established.
In the lower levels of the atmosphere, the difference in temperature between the equator and the northerly warmer regions gives rise to the Intertropical Convergence Zone where the warmer air rises because of convergence and relatively lower density.
[1] This system greatly affects sailing because the associated winds are generally not strong and sailing vessels have to go far north or south of the centre of the high pressure region depending on the direction of travel to find winds that are favourable in strength and direction.
[3] The anticyclonic circulation produces a dry climate, contributing to the aridity of the Namib and Kalahari deserts, but its influence does not stop there: the South Atlantic High brings warm weather from the east coast of South America to Africa in summer as it carries tropical air to its southern flank.
[1] On its northern flank, where the winds are easterly trade winds, there is the intertropical convergence zone that controls the African monsoon and the rainy season in the Guianas.