To me, the "default mode" of a breach of trust in-game is entirely OOC. My reaction to having that happen to me will depend on several factors, such as the seriousness of the offense, just how good a friend I thought you were (some people's betrayals hurt worse than others, and there are a few friends I've gained through EVE who I do trust deeply), how likable I find you in general, how impressed I am with what you did, whether or not I had a bad day IRL, and several other things. I will react in any way I choose to, IC or OOC, within the limits of the EULA in-game and the law OOG. This may include such things as never allowing you or any of your known alts into any corp of mine ever again, naming and shaming, warning other people about you and limiting my interactions between any or all of your characters and any or all of my characters in whatever ways I damn well please. I may react completely differently toward two different people over the exact same offense, without feeling any particular compulsion to explain or to justify that bias to anyone.
If you break the trust of other people I know, I will also react in whichever way I please, which may very well be biased by my like or dislike for the victim(s) of the offense.
In short, a metagame break of trust is a social action and will invoke a social response, which may vary widely according to context and whim.