Εξακριβώνω την κυριότητα.

Because Greek often drops subject pronouns when they are already clear from the verb ending.

Εξακριβώνω means I verify / I ascertain, so εγώ is not necessary.
If you added εγώ, it would sound more emphatic, like I verify the ownership.

It is:

• 1st person singular
• present tense
• active voice

So it literally means I verify, I check, or I ascertain.

It is also the dictionary form you would normally look up.

Some useful related forms are:

• εξακριβώνω = I verify
• εξακριβώνεις = you verify
• εξακριβώνει = he/she/it verifies
• θα εξακριβώσω = I will verify
• εξακρίβωσα = I verified

Εξακριβώνω means something like:

• verify
• ascertain
• determine accurately
• make sure of

It is a bit more formal or official than a very everyday verb. You might see it in:

• legal language
• administration
• reports
• official procedures

In casual speech, people might sometimes use verbs like:

• ελέγχω = check
• επιβεβαιώνω = confirm

But εξακριβώνω has the idea of checking carefully and establishing what is true.

Because κυριότητα is the direct object of the verb, so it must be in the accusative case.

The noun is feminine:

• η κυριότητα = the ownership, the title right → nominative
• την κυριότητα = the ownership, the title right → accusative

Since εξακριβώνω is something you do to the ownership, Greek uses the accusative:

• Εξακριβώνω την κυριότητα.

That is exactly the normal pattern.

Here κυριότητα means ownership, especially in a legal sense.

It often refers to the legal right of ownership, so depending on context it can be close to:

• ownership
• title
• title right
• proprietorship

This is more specific than just talking about a physical property.
So κυριότητα is the right of owning something, not necessarily the thing itself.

Normally, no. Εξακριβώνω κυριότητα sounds unnatural.

Greek usually wants the article here because you are talking about a specific thing: the ownership of something in question.

So:

• Εξακριβώνω την κυριότητα. = natural
• Εξακριβώνω κυριότητα. = unnatural in normal Greek

Greek uses the definite article more often than English does, especially with nouns that are specific in context.

A simple pronunciation guide is:

exa-kri-VO-no tin kiri-O-ti-ta

Stress falls on:

• εξακριβώνω
• κυριότητα

A few notes:

• ξ sounds like ks
• η, ι, υ, ει, οι all sound like ee in Modern Greek
• την is pronounced roughly tin

So the whole sentence sounds approximately like:

eksa-kree-VO-no tin kee-ree-O-tee-ta

No. Greek word order is more flexible than English word order.

Εξακριβώνω την κυριότητα is a natural, neutral order.

But you could also say:

• Την κυριότητα εξακριβώνω.

That puts more emphasis on the ownership.

Because the verb ending and the case marking already show the grammar, Greek can move words around more easily for emphasis or style.

It sounds fairly formal or professional.

That is mostly because of εξακριβώνω and κυριότητα, both of which are common in legal, administrative, or technical contexts.

You might hear this kind of sentence in situations involving:

• real estate
• contracts
• official records
• legal checks
• document verification

In everyday conversation, people might choose something simpler depending on context.

Depending on the situation, possible alternatives are:

• Ελέγχω την κυριότητα. = I check the ownership.
• Επιβεβαιώνω την κυριότητα. = I confirm the ownership.

These are not always exactly identical in nuance:

• ελέγχω = check/examine
• επιβεβαιώνω = confirm
• εξακριβώνω = verify carefully / ascertain

So εξακριβώνω is often the most precise choice in official contexts.

The dictionary form is η κυριότητα.

That is the nominative singular, which is the form dictionaries normally list.

In this sentence, it changes to την κυριότητα because it is in the accusative singular.

So:

• dictionary form: η κυριότητα
• sentence form here: την κυριότητα