Clifford algebras obtained by twisting of group algebras

We investigate the construction and properties of Clifford algebras by a similar manner as our previous construction of the octonions, namely as a twisting of group algebras of image by a cocycle. Our approach is more general than the usual one based on generators and relations. We obtain, in particular, the periodicity properties and a new construction of spinors in terms of left and right multiplication in the Clifford algebra.