Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON CLASS ALGEBRAS

  • Choi, Eun-Mi (Department of Mathematics Han Nam University) ;
  • Lee, Hei-Sook (Department of Mathematics Ehwa Womans University)
  • Published : 2003.03.01
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Abstract

Let $F^{\alpha}$G be a twisted group algebra. A subalgebra of $F^{\alpha}$G generated by all class sums of partition P of G is called a projective class algebra in $F^{alpha}$G 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.

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