Almost periodic functions on groupoids
Farid Behrouzi
Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
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Abstract
In this paper we generalize the notion of almost periodic functions on groups to the corresponding notion for groupoids. We prove a number of theorems about almost periodic functions in this general setting. We show that the set of almost periodic functions on a groupoid is a C*-subalgebra of . We investigate some topological properties of the maximal ideal space of and we obtain a continuous partial operation on . Also, we study almost periodic functions on groupoids defined by an equivalence relation on a set and obtain a compactification of
Cite this article
Farid Behrouzi, Almost periodic functions on groupoids. Rend. Sem. Mat. Univ. Padova 132 (2014), pp. 45–59
DOI 10.4171/RSMUP/132-4