That is basically the topic of my term paper and pretty much anything regarding the development of Chicago into the "city of neighborhoods", effects, causes, attempts to address those issues/failure to do so would be helpful. It has been hard to find material so far because there are very few books on American history and internal issues in German libraries and I would also like to avoid German sources to simplify the process of quoting these sources since the term paper will be written in English.
First: I know that Atlantic writer Ta-Nehisi Coates has covered this in several stories.
The National Housing Act of 1934 created the Federal Housing Authority, which provides insurance on mortgages to lenders. It instituted a practice of assigning different geographic areas as either A, B, C, or D grades. The grades indicated the levels of mortgage insurance backing that the FHA would provide. Areas with D grades did not get any mortgage backing. Moreover, assigning D grades specifically to black or minority communities was explicitly legal from 1934-1968 and was commonly called 'redlining.'
An article from Coates' includes a moving human interest type anecdote and also map of Chicago's redlining. The article is here.
Second: Notably, this Chicago map is pulled from urban American historian Ladale Winling's blog urbanoasis. Some of his research has focused specifically on housing in Chicago.
Third: Another source on redlining you might be able to use is Niall Ferguson's book The Ascent of Money: A Financial History of the World. He also made this book into a documentary, available in full on youtube here. In one chapter he describes the practice of redlining in Detroit (not Chicago :/) and noted that the city even tried to build a physical wall separating one of the areas. The wall is still standing to this day. google images
Fourth: One particular question that I've been interested in researching more myself is whether Chicago's raised El tracks or particular highways were built where they are in order to racially segregate neighborhoods. Similar race segregation was often a factor in the city planning practiced by the (very prolific) Robert Moses' in New York in the mid 20th century. See the book The Power Broker: The Rise and Fall of New York by Robert Caro for more on the city planning completed by Moses in New York.