According to Alcor's 2008 Form 990 (page 46), they paid a total of $146,352 to "Cryonics Property LLC." I'm guessing, that if one was to research earlier Form 990's, they would find similar payments.
According to Alcor:
"As of April 30, 2010, the Alcor Patient Care Trust Fund has assets of 3.55 million dollars, invested as follows:
The Patient Care Trust owns just over 75% of the shares in Cryonics Property, LLC, the limited liability company that owns the Alcor building (all other shares are owned by Alcor members). These shares (representing the Trust's equity in the Alcor building) are valued at approximately $470,000 based on the original purchase price of the building (they would be higher at current market value). The Trust also owns the mortgage on the building, valued at about $361,000. Alcor pays rent to Cryonics Property, LLC. Since Alcor does not occupy the entire building, there are additional tenants who also pay rent, which provides some additional income for the Patient Care Trust." http://www.alcor.org/AboutAlcor/patientcaretrustfund.html