Is a married man's statement in online chat rooms that he is "divorced"—while he has not actually divorced his wife and repeatedly makes this claim—considered a divorce for his wife?

Naming with such a name is impermissible due to its ugliness and ambiguity. A wife is not divorced by this naming as long as the husband does not intend to initiate a divorce, but merely to name. So, whoever utters the word of divorce outside the context of dissolving the marital bond, such as uttering it for teaching or calling, has not initiated a divorce. The denotation of names to their referents is arbitrary, and if they are transferred, they convey information, not initiation. If we assume he intended to divorce his wife with this naming, then the wife would be divorced by it, because it is considered a metaphor intended to dissolve the marital bond.