See my video below which outlines a high level overview of the backup process in an EMC Avamar solution. One thing I forgot to mention in the video is when the process gets to the point where it checks to see if the hash of the data exists on the Avamar server (step 6), this is the "global" part of the global deduplication magic that is EMC Avamar.

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For the record, my Macbook Air keeps autocorrecting "deduplication" into "reduplication" in case you see that in any of these posts.