Julian Assange is being question by the Swedish authorities in the Ecuadorian Assembly, which is the arrangement that they have made. The girl who made the accusations deserves to see him put on trial. He needs to be questioned and due process should occur, he should not be allowed to dodge accusations.
Questioning of individuals under the protection of asylum should be permitted so that authorities can gather the appropriate facts. Outside authorities should have the opportunity to document and understand the entire situation in order to take proper action. The individual under asylum should be given the opportunity to state his case in an open manner.
The entire concept of asylum has developed over centuries of diplomacy and foreign relations, so no one who has been granted asylum should be forced to submit to questioning by a foreign entity against their will, regardless of the charges. If Assange has been granted asylum, he should enjoy the protections of the country that granted it to him, and he should not have to answer any questions posed by Swedish at that point unless he agrees to do so. Otherwise, the whole point of asylum becomes meaningless.
The swedish authorities should be the one to question him because that is where Julian Assange is from. Other countries shouldn't be getting into each other's business unless the crime directly has to do with everyone invlolved. It would make everything simpler not only for the people but for the governments as well.