A duality for Moore groups

Details A duality for Moore groups A duality for Moore groups

2009-07-09

arxiv.org/abs/0907.1409v6

Mathematics

Functional Analysis

This version is accepted by J. Oper. Theory

Scientific paper

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 finite-dimensional. Objects
in this category are pro-C*-algebras with a structure of Hopf algebras (in the
strict algebraic sense) with respect to a certain topological tensor product.

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