A Categorical Definition of Semidirect Products |
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| Authors: | Olaf Berndt |
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| Institution: | (1) Universiteit Utrecht, Vakgroep Wiskunde, Postbus 80.010, 3508 TA Utrecht, The Netherlands |
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| Abstract: | For any punctured category, a definition of a  semidirect product and its dual counterpart, a semidirect sum, is given. Several examples are studied, among which are semidirect products of commutative Banach algebras and locally compact topological groups, and semidirect sums of compact Hausdorff spaces with basepoint. Also, further applications to commutative Banach algebras are given. |
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| Keywords: | semidirect products categories Banach algebras topological spaces |
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