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We show that there are six different choice of tensor product ofsupersymmetric N=(1,1) spectral data in the context of supersymmetric quantumtheory and noncommutative geometry. We also show that the procedure ofextending a supersymmetric N=1 spectral data to N=(1,1) spectral data respectsonly one tensor product among these. We refer this as the multiplicativityproperty of the extension procedure. Therefore, if we demand that the extensionprocedure is multiplicative then there is a unique choice of tensor product ofN=(1,1) spectral data.

On the supersymmetric $N=1$ and $N=(1,1)$ spectral data : A multiplicativity property