Trust differs from promising because obligations rest on the trusted, not the truster. [definitional]
With trust, however, we cannot even formulate an analog of either the conventional or the logical account of an obligation. It is I who promise and who thereby assume an obligation. But, if it is I who trust, it is the trusted who would have to be burdened with an obligation.
DEFINE: Distinguishes trust from promising by showing the direction of obligation is inverted — I assume the obligation when I promise, but the trusted would bear it in trust.
Russell Hardin, Trust and Trustworthiness, loc. 331