Whether you owned the property jointly or it was in his name only, your entire basis "steps up" to fair market value (FMV) on the date of death.
If you lived in a non community property state and owned the unit jointly, only half the basis would step up. For example if you originally purchased it for $100,000 and it is now worth $200,000, your new basis would be $150,000 in a non community property state and $200,000 in a community property state like California.
You get to start depreciation all over again, based on the stepped up value (in a non-community property state, the old depreciation schedule would continue on your original half, but start over on the inherited half).
