Comparison Between a Long Term and a Conventional Maintenance Treatment With Rituximab

Inclusion Criteria: First, patients must have been included in MAINRITSAN 2 and in addition to meeting the criteria for inclusion and non-inclusion. MAINRITSAN 2 inclusion criteria: * Granulomatosis with Polyangiitis Or microscopic polyangiitis complying Or kidney-limited disease With or without detectable ANCA (anti-neutrophil cytoplasmic antibodies) at the time of diagnosis or relapse, and at remission. * Who have achieved remission using a treatment combining corticosteroids and an immunosuppressive agent, including corticosteroids, cyclophosphamide IV or oral (the use of another immunosuppressant is allowed, according to the current French guidelines, as well as plasma exchanges and/or IV immunoglobulins, or rituximab). * Interval of 1 month between the end of the immunosuppressant treatment and the randomization time if cyclophosphamide or methotrexate were used, interval between 4 and 6 months if rituximab was used * Age \> 18 years without age limit higher when the diagnosis is confirmed. * Informed and having signed the consent form to take part in the study. and Patients must meet all of the following criteria: * In complete remission (BVAS 0) at 28 months of MAINRITSAN2 study. * Informed patient who accepted to participate in MAINRITSAN 2 and who signed the informed consent to this extension. * Randomized on the day of the evaluation of the primary endpoint of MAINRITSAN 2 during the visit M28 (last visit of the protocol). Exclusion Criteria: * Eosinophilic granulomatosis with polyangiitis (EGPA) * History of severe allergic manifestations or anaphylactic manifestations following humanized or murine monoclonal antibodies infusions * Pregnant or breast feeding women. Contraception is required for women who could be pregnant during treatment follow up and during the year following the last infusion. * Infection by HIV (positive serology), HCV (positive serology), or HBV (HBsAg positive or anti-HBc antibody positive with anti-HBs antibody negative) * Uncontrolled infection at time of inclusion in the extended follow-up study. * Other severe bacterial, viral , mycobacterial or fungal infection(s), occurring within the last 3 months before of randomization. A severe infection is defined by the hospitalization, a life or organ threatening. * Severe chronic obstructive bronchopathy (FEV \< 50% or dyspnea stage III). * Cardiac failure, stage IV according to the NYHA classification. * Recent history of coronary artery disease (\<1 month). * Ongoing malignancy or hematologic disease within 5 years before inclusion. * Patient with severe immunodepression characterized by clinical manifestations. * Participation to another concomitant therapeutic study (except observational studies or studies without therapeutic intervention). * Psychiatric disease that may interfere with the study. * Non affiliation to a health insurance. * Uncontrolled severe cardiac disease.