I think "public mall areas" (alternatively "colonnades", but that seems a bit specific) would do for "galerie marchande" and I think "shopping centre" is suitably catch-all to cover everything in the list.

that´s how I would call these two terms

it covers both the hypermarket and the shops which are linked to it, under the same roof

mail (et non mall) ou galerie marchande: to be more precise, I'd say shopping center/shopping mall and the covered walks

Shopping center denotes a group of shops including supermarket, brand name shops, small commerces, often a food court, often a petrol station. In US this is a mall. A shopping arcade denotes a number of shops gathered under one roof - usually a straight passage such as the Burlington Arcade in London - or in Paris is would be the "Passages" in the 9th arrondissement of Paris - cant remember the names right now.

There doesn't seem to be a clear-cut solution. However, as Eutychus rightly points out, the CC includes 'voirie' here, so it might be better to move away from 'shopping centre' for that part. I presume that the ref to GM in the question is essentially the upkeep of the walkways so it might be best to say 'shopping centre walkways'.

It's important not to lose sight of the fact that these terms mean different things according to how they are being used, so most of the answers on this page (with one notable exception!) could be right in different situations.

Here, I feel sure the distinction is being made between the shopping centre / mall as a whole, and the collection of usually slightly smaller shops / stores within it clsutering round the main hypermarket or whatever.

Do note, though, that (as has already been pointed out), the GM is sometimes used to refer to a simple parade of neighbourhood shops (i.e. independent of any one many store), which may also however be referred to as a 'centre commercial' without actually possessing any single 'main' store.

I don't believe in this instance there is any specific intention to refer to a 'shopping arcade' as in the Burlington Arcade etc., though of course that term GM is indeed sometimes used for such facilities.

I don't think there is any harm in saying 'parade of shops' even if it is within larger premises, though the term 'arcade' as suggested by Jenny may well be more natural-sounding.

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Note added at 2 hrs (2008-09-03 08:56:07 GMT)
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While 'tradING estate' is indeed sometimes used in the UK for what is perhaps more currently known as a 'retail park', 'tradE centre' simply won't do here, since in UK EN a specific distinction is made between 'trade' (i.e. professional suppliers, wholesalers, etc.) and 'retail' (i.e. intended for the general public) — the latter idea being what is intended by 'centre commercial' in FR.

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Note added at 2 hrs (2008-09-03 08:59:10 GMT)
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Re-reading Ken's question, I now feel that centre commercial / mall / galérie marchande are in fact referring to items regarded as equivalents in the list; the US term 'mall' seems to be coming into fashion over here for a shopping centre (without any specific distinction I can discern), and in this case, I think Clair's suggestion of 'shopping precinct' may well be the best solution.

These are not mutually exclusive because a shopping centre (property) may contain a covered galerie marchande (= 'mall') as well as free-standing stores.
It is true that 'mall' is now *almost* synonymous with 'shopping center' in the US, but only because most of this country has cold winters or hot summers or both, and so retail has moved indoors. Generally, 'mall' still implies a roof overhead -- with the signal exception of "strip mall", which is a good equivalent for French "retail park".

On Tony's suggestion, I'm posting this suggestion.
I agree with Tony that the three terms given ("Centre Commercial, le mall, OU la galerie marchande") could well be refering to equivalents.
Ken, you no doubt have more information as to the exact nature of the complex in your document.

Just for reference, other terms and definitions included in this article:

http://www.nationmaster.com/encyclopedia/Shopping-centre