There are multiple definitions - click on the translation that matches your context.

annehmen

Verb

full

assume

verb

Definitions of assume

English

to agree to continue performing duties under a contract or a lease

The debtor assumes the lease or the contract under § 365.

English

to start to have control over or responsibility for something

She assumed responsibility for her younger brother's debts.

English

to think that something is true without knowing for certain

It would be wrong to assume that the defendant is naive or stupid.