Totally agree that technology products/services have significant role to play in Africa, especially as we have leapfrogged lines and gone direct to mobile. I think the key point as you highlighted is is that its is homegrown - it took me a while to unlearn/adjust my approach when introducing data-focused products to in Addis Ababa, Ethiopia.
I work with both domestic and foreign private companies in Ethiopia and the main vehicle to invest here is via equity participation (ex. private equity investments - firms such as KKR, Norfund, Catalyst)) or strategic joint ventures with multinationals. The capital markets are still quite nascent across Africa ( Kenya, South Africa, Nigeria leading the way) so index funds will be challenging. Check out Barclays Africa, Atlas Mara,Standard Bank, Eco Bank, and United Bank to see if they offer options via funds.If you are interested in investing in Ethiopia, happy to discuss further(Shameless plug: Our company provides investment data to support local companies, global investors and policy makers make informed decisions abut Ethiopia's business landscape. I conducted on the ground research and found the lack of data that is easily accessible and informative is a significant problem which hinders the rate of investmentactivity here. Today, we engage with about 450+ local companies across various sectors :)