This　review　focuses　on　heterogeneous　photocatalysis　of　perfluoroalkyl　substances　(PFAS)　which　are　of　worldwide　concern　as　emerging　persistent　organic　contaminants.　Heterogeneous　photocatalysis　is　an　effective　and　advanced　technology　for　PFAS　removal　from　water　with　relatively　high　efficacy.　During　photocatalysis,　various　short　chain　perfluorocarboxylic　acids　(PFCA)　are　produced　as　intermediates　and　the　efficacy　is　related　to　the　photo-generated　hole　(h(+))　and　photo-generated　electron　(e(-)).　PFAS　photodegradation　in　water　under　UV　irradiation　is　most　effective　by　using　In2O3　as　the　catalyst,　followed　by　Ga2O3　and　TiO2.　Significantly,　modifying　the　chemical　composition　or　morphology　of　the　catalyst　can　improve　its　efficacy　for　PFAS　removal.　In2O3　porous　nanoplates　were　found　to　have　the　best　performance　of　100%　PFAS　decomposition　under　UV　light　with　rate　constant　(k(t))　and　half-time　(tau(1/2))　of　0.158　min(-1)　and　4.4　min,　respectively.　Catalysts　perform　well　in　acidic　solution　and　increasing　temperature　to　a　certain　extent.　The　photocatalytic　performance　is　reduced　when　treating　wastewater　due　to　the　presence　of　dissolved　organic　matter　(DOM),　with　the　catalysts　following　the　order:　needle-like　Ga2O3　＞　In2O3　＞　TiO2.　Future　studies　should　focus　on　the　development　of　novel　photocatalysts,　and　their　immobilization　and　application　for　PFAS　removal　in　wastewater.　(C)　2017　Elsevier　Ltd.　All　rights　reserved.