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                                                                   Exhibit 10.32


                            FIRST AMENDMENT TO LEASE


     THIS FIRST AMENDMENT TO LEASE (this "Amendment") is effective as of July 
24, 1998, by and between MISSION PLAZA LLC, a California limited liability 
company, and GLOBIX CORPORATION, a Delaware corporation doing business as The 
California Globix Corporation, "Landlord" and "Tenant", respectively, under 
that certain Lease (the "Lease") dated as of July 24, 1998, for the Premises 
described in Section 1.1 of the Lease, consisting in part of real property 
described as Parcel 1 shown on that Parcel Map filed for record in the Office 
of the Recorder of the County of Santa Clara, State of California, on May 15, 
1998, in Book 702 of Maps, pages 29, 30 and 31.

     The Lease is hereby amended as set forth herein.

     The following sentence shall be added to Section 10.1 of the Lease:

          Without the prior written consent of Landlord, Ground Lessor and the
          District, Tenant shall maintain no more than two classrooms on the
          Premises, and shall conduct training for no more than thirty (30)
          persons at any one time on the Premises (other than in-house Tenant
          employee training); shall confine its training operations on the
          Premises to computer hardware, software and related technology used
          for systems installed by Tenant or Tenant's corporate clients and
          necessary to and in support of Tenant's primary website/internet
          service business; shall not advertise its training to the general
          public; and shall not solicit or accept individuals for training who
          are not affiliated with Tenant's corporate clients. These restrictions
          apply only to the Premises at 2807 Mission College Boulevard, Santa
          Clara, California, and do not restrict Tenant's activities at any
          other location at which Tenant conducts business.

     The following Subsection 41.1(k) is added to the Lease:

          (k) PARKING (SECTION 15.1). Neither Ground Lessor nor the District
          shall have any obligation to construct or provide parking spaces and
          related improvements, but shall not withdraw any parking spaces which
          are otherwise available for Tenant's use.

     In all other respects, the Lease shall remain in full force and effect as 
originally written.



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     IN WITNESS WHEREOF, the parties hereto have executed this First Amendment 
to Lease as of the date of the first above written, having been executed on the
date set forth below.

LANDLORD:

MISSION PLAZA LLC
A California limited liability company
By Nexus Properties, Inc.
A California corporation
Manager

Dated:      Oct. 8, 1998
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By:   /S/ R. Darreil Gary
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      R. Darreil Gary
      President

TENANT:

GLOBIX CORPORATION
A Delaware corporation
Doing business as The California Globix Corporation

Dated:      Oct. 8, 1998
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By:   /S/ Robert Bell
      ----------------------------
      Robert Bell
      Executive Vice President and Chief Financial Officer