What is the Bohr compactification of a topological group and in particular of the real line? How can you define it?

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I have encountered the Bohr compactification in the context of Loop Quantum Cosmology and Polymer Quantum Mechanics and I cannot succeed understanding it in a straightforward way. I just got my Master's Degree in Physics and at the moment I do not have an adequate background in topology that can help me to grasp these notions. Is there a rigorous and understandable way to define the Bohr compactification in general and in particular the Bohr compactification of the real line? Thank you all.