ACTION OF PONTRYAGIN DUAL OF SEMILATTICES ON GRADED ALGEBRAS

作者：Centrone Lucio^*

来源：Communications in Algebra, 2014, 42(8): 3491-3506.

DOI：10.1080/00927872.2013.786945

• Action of a monoid on a algebra
• Algebras graded by a monoid
• Bialgebras
• Pontryagin duality
• Primary 16W50
• 16T10
• 06B15

Let A be a C-algebra and G be a finite abelian group. Then a G-graded algebra is merely a G-algebra and viceversa because of the fact that G and its group of characters G are isomorphic. This fact is no longer true if we substitute G with infinite or non-abelian groups. In this paper we try to obtain similar results for a special class of abelian monoids, i.e., the bounded semilattices. Moreover, if S is such a monoid, we are going to investigate the role of S and its Pontryagin dual S over a monoid, we ae going to investigate the role of S and its Pontryagain dual S over the algebra A, in the case A is S-graded.

• 出版日期2014-8-3