A duality for Moore groups
Abstract
We suggest a new generalization of Pontryagin duality from the category of Abelian locally compact groups to a category which includes all Moore groups, i.e. groups whose irreducible representations are finitedimensional. Objects in this category are proC*algebras with a structure of Hopf algebras (in the strict algebraic sense) with respect to a certain topological tensor product.
 Publication:

arXiv eprints
 Pub Date:
 July 2009
 arXiv:
 arXiv:0907.1409
 Bibcode:
 2009arXiv0907.1409K
 Keywords:

 Mathematics  Functional Analysis;
 Mathematics  Quantum Algebra;
 22D35;
 22D25;
 16T05
 EPrint:
 This version is accepted by J. Oper. Theory