There are no if-else syntax in angular templates as you are looking for. Too much logic in the templates makes it difficult to maintain. Here are two possible solutions:
<span ng-show="data.sender == 'mail' || data.sender=='system'">{{data.receiver}}</span>
<span ng-show="data.sender != 'mail' && data.sender!='system'">{{data.sender}}</span>
You can also use ng-switch in a similar way:
<span ng-switch="data.sender">
<span ng-switch-when="mail">{{data.receiver}}</span>
<span ng-switch-when="system">{{data.receiver}}</span>
<span ng-switch-default>{{data.sender}}</span>
</span>
The later having the advantage that only one of the spans will exist in the document where ng-show/ng-hide all spans exist in the document they are just hidden using display:none.
Other options would be writing your own directive, or creating special filters.