Diagram rigidity for geometric amalgamations of free groups |
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Authors: | Jean-François Lafont |
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Institution: | Department of Mathematics, The Ohio State University, 100 Math Tower, 231 W. 18th Ave., 43210-1174 Columbus, OH, United States |
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Abstract: | In this paper, we show that a class of 2-dimensional locally CAT(-1) spaces is topologically rigid: isomorphism of the fundamental groups is equivalent to the spaces being homeomorphic. An immediate application of this result is a diagram rigidity theorem for certain amalgamations of free groups. The direct limits of two such amalgamations are isomorphic if and only if there is an isomorphism between the respective diagrams. |
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Keywords: | Primary 20F65 secondary 57M20 |
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