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Transitive partial actions of groups

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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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Authors and Affiliations

  1. Department of Mathematics Education, Teachers College, Cheju National University, Jeju, 690-781, Korea

    Keunbae Choi

  2. Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea

    Yongdo Lim

Authors
  1. Keunbae Choi
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  2. Yongdo Lim
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Correspondence to Keunbae Choi.

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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

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