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How can a torus $T^n$ acts on the projective space $\mathbb{P}^n=\mathbb{P}(\mathbb{C}^{n+1})$?

Is it possible or I'm doing a mistake because I need to consider $\mathbb{P}^{n-1}$ ?

Thanks

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    It can act trivially, for example... You probably have in mind $s$omething more $s$pecific that just any action.2012-02-29

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$(t_1,...,t_n)\in (\mathbb C^*)^n$ sending $[x_0,...,x_n]\in \mathbb P^n$ to $[x_0,t_1x_1,...,t_nx_n]\in \mathbb P^n$ defines an action of $(\mathbb C^*)^n$ on $\mathbb P^n$.