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Focus an item

move mouse over it

move keyboard focus using arrow keys

(not supported)

Select an item

click it or tick its checkbox

move keyboard focus, then hit SPACE

tap on it or tick its checkbox

Deselect an item

click it while holding Ctrl/Command modifier, or
uncheck its checkbox

move keyboard focus, then hit SPACE

uncheck its checkbox

Open an item

double-click it, or
select it, then choose "open/edit"

double-tap it, or
select it, then choose "open/edit"

select it, then it Ctrl/Command modifier, or
select it, then choose "open/edit"