That your properties are fine.
It means no one has robbed your property.
the only property that cannot be robbed is the Mafia Mike's.
You can purchase properties in "Properties". First you have to buy a corresponding land for the property that you wanted to buy. For example you want to buy a Mafia Mike's property, you should first buy a Vacant Lot for you to buy Mafia Mike's and same goes for the other properties.
Until your property is attacked. Based on how bad the damage is will determine how much you have to pay to re-protect it. It's a stupid concept.
you can get properties in Mafia wars upon buying first site on where you need to build the structure and then buy the desired business.
you cannot lose property in Mafia Wars unless you sell them. before when robbing was still available, the property can only be damaged and the production of the property decreases depending on how much damage it received.
how do you get properties in mafia wars
the property protection is available on the properties page. at this stage you do not need property protection because the robbing mode is disabled.
you could sell properties ... but not any more
To keep your property from being robbed, you need to collect your properties timely. You can check the link for Robbing 101 in mafia wars.
no Technically, "Robbing" is a new feature of Mafia Wars that affects your property. When you are "robbed," you lose cash - though I'm uncertain if that comes from your bank account or your Property Income. I do know that your Property Income and "health" are both reduced. You have to pay a lump sum (based on the initial value of the property and the damage done to it) to "repair" the property/ies to 100% health. Then you have to pay another lump sum (based on the value of all properties) to "Protect" your properties. These robbing and property protection features are in Beta on Facebook. So far, they seem to provide a serious disadvantage to players with lower levels and mafia size. However, if your initial question was about losing your banked cash in a traditional "Fight," then ... "no" is correct.
go to the properties/rackets tab in your Mafia Wars there you can see the properties available and the amount. if you have properties, just buy the abandoned lot there and in rackets, you must first click on the button collect your take (if you have any) before buying any property.
if your property is damaged, an icon will appear on the page that says repair cost. if you have enough money and click repair, the life of the property will be back to full.