NOVELTY - Processing a crude algae oil or its fraction obtained from a biomass, comprises heating the crude algae oil obtained from the biomass to a maximum temperature of 300-600 degrees C to obtain a thermally-treated algae oil, where the heating of the crude algae oil occurs without the addition of hydrogen.    USE - The method is useful for processing a crude algae oil obtained from a biomass, to obtain a thermally-treated algae oil (claimed), where the biomass comprises at least one species of algae, the algae is a microalgae, and the microalgae is a Chlamydomonas sp., a Dunaliella sp., a Scenedesmus sp., a Desmodesmus sp., a Chlorella sp., a Volvacales sp., a Volvox sp., an Arthrospira sp., a Sprirulina sp., a Botryococcus sp., a Desmid sp., a Hematococcus sp., a Nannochloropsis sp., a Synechococcus sp., a Synechocystissp., a Prochlorococcus sp., a Chroococcus sp., a Gloeocapsa sp., an Aphanocapsa sp., an Aphanothece sp., a Merismopedia sp., a Microcystis sp., a Coelosphaerium sp., a Prochlorothrix sp., an Ocillatoria sp., a Trichodesmium sp., a Microcoleus sp., a Chroococcidiopsis sp., an Anabaena sp., an Aphanizomenon sp., a Cylindrospermopsis sp., a Cylindrospermum sp., a Tolypothrix sp., a Leptolyngbya sp., a Lyngbya sp. and/or a Scytonema sp., preferably a Chlamydomonas reinhardtii, Dunaliella salina, Haematococcus pluvialis, Nannochloropsis oceanica, Nannochloropsis salina, Scenedesmus dimorphus, Spirulina maxima, Arthrospira fusiformis, Dunaliella viridis, Nannochloropsis oculata and/or Dunaliella tertiolecta. The method is useful for processing a crude algae oil to obtain fuels, lubricants and/or other products.    ADVANTAGE - The thermally-treated algae oil: is less dense than the crude algae oil before heating; has a lower heteroatom content than the crude algae oil, a reduced boiling point distribution and a reduced metal content as compared to the crude algae oil before heating. The thermally-treated algae oil has: more aromatic molecules, an increased saturated hydrocarbon content, decreased fatty acid content, reduced total acid number, reduced viscosity, increased nitrile content, and decreased sterol content as compared to the crude algae oil, before heating. The method improves algae oil properties including: oxygen and sulfur removal without the addition of hydrogen and/or a catalyst; carbon chain length reduction, boiling point reduction and/or density reduction; an increase in saturated hydrocarbons; generation of carbon dioxide; generation of hydrogen and light hydrocarbon gasses; and/or reduction of coke-precursors and/or metals by producing solids in the process.    DETAILED DESCRIPTION - An INDEPENDENT CLAIM is included for a thermally-treated algae oil made by the method.