Abstract
J. Kellendonk and M. V. Lawson established that each partial action of a group G on a set Y can be extended to a global action of G on a set Y G containing a copy of Y. In this paper we classify transitive partial group actions. When G is a topological group acting on a topological space Y partially and transitively we give a condition for having a Hausdorff topology on Y G such that the global group action of G on Y G is continuous and the injection Y into Y G is an open dense equivariant embedding.
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Communicated by Mária B. Szendrei
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Choi, K., Lim, Y. Transitive partial actions of groups. Period Math Hung 56, 169–181 (2008). https://doi.org/10.1007/s10998-008-6169-8
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DOI: https://doi.org/10.1007/s10998-008-6169-8