Good book on topological group theory?
There is a classical Lev Pontrjagin’s book “Continuous groups” or “Topological groups” (original is in Russian, but there exists an English translation too). Also I often encountered references to “Abstract Harmonic Analysis” by E.Hewitt and K.Ross it this context, but I never saw this book. :-)
You may consider G. B. Folland's book A Course in Abstract Harmonic Analysis.