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Lück has several surveys on the Farrell-Jones Conjecture on his website.
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Equivariant homology theories were defined in Lück, Chern characters for proper equivariant homology theories and applications to K- and L-theory, but unfortunately, their construction by…
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The nonconnective K-spectrum of a small additive category constructed by Pedersen-Weibel, A Nonconnective Delooping of Algebraic K-theory.
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References for this material are given in the book by Strom mentioned above as well as Munson-Volic Cubical Homotopy Theory. I don't know the geodesic route to the proof of the fundamental…
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The proof of the ladder and gluing lemmas can be found in May-Ponto More Concise Algebraic Topology.
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For homotopy colimits and limits, I like the approach of Davis-Lück the best. The classical reference is Bousfield-Kan, Homotopy Limits, Completions and Localizations. Strom's Modern…
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A good reference for exactness properties of classical colimits and limits is Weibel's book An Introduction to Homological Algebra.
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