Breast cancer is rarely curable after metastasis, and the therapeutic options for metastatic triple negative breast cancer (TNBC) are limited. The host immune response is strongly predictive for the effect of chemotherapy in patients with TNBC. In the present trial, we combine Atezolizumab, an inhibitory antibody against Programmed Death Ligand-1 (PD-L1), with chemotherapy. Thereby, we aim to release the brake on the chemo-induced immune response. The chemotherapeutic regime is a combination of anthracycline and cyclophosphamide, applied in a semi-metronomic fashion (pegylated liposomal doxorubicin every 2nd week and daily cyclophosphamide for 2/4 weeks). The investigators hypothesize that the semi-metronomic regime will induce immunological cell death and counter T regulatory cells, while maintaining the leukocyte counts and the ability of the effector immune cells to respond. The use of pegylated liposomal doxorubicin (Caelyx) minimizes the adverse effects of anthracyclines on the heart and allows for continued treatment beyond the otherwise mandatory anthracycline limits.