Journal of the Korean Mathematical Society vol. 40, no. 2, pp. 273 - 286
SCIE; SCOPUS; KCI
Let FαG be a twisted group algebra. A subalgebra of F αG generated by all class sums of partition P of G is called a projective class algebra in FαG associated with partition P. In this paper we study various partitions of G determined by actions of certain operator groups on G and construct projective class algebras depending on the actions. With regard to projective class algebras, we investigate structures of associated skew group algebras and fixed group algebras.