  For a surface $F$, the Kauffman bracket skein module of $F \times [0,1]$,
denoted $K(F)$, admits a natural multiplication which makes it an algebra. When
specialized at a complex number $t$, nonzero and not a root of unity, we have
$K_t(F)$, a vector space over $\mathbb{C}$. In this paper, we will use the
product-to-sum formula of Frohman and Gelca to show that the vector space
$K_t(T^2)$ has five distinct traces. One trace, the Yang-Mills measure, is
obtained by picking off the coefficient of the empty skein. The other four
traces on $K_t(T^2)$ correspond to each of the four $\mathbb{Z}_2$ homology
classes of the torus.
