Toric AF-algebras and faithful representation of the mapping class groups

Igor Nikolaev

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arXiv · math/0111173

Toric AF-algebras and faithful representation of the mapping class groups

Igor Nikolaev

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Abstract

There exists a covariant non-injective functor from the space of generic Riemann surfaces to the so-called toric AF-algebras; such a functor maps isomorphic Riemann surfaces to the stably isomorphic toric AF-algebras. We use the functor to construct a faithful representation of the mapping class group of surface of genus g>1 into the matrix group GL(6g-6, Z).

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BibTeX RIS

Igor Nikolaev. 2011-04-08. Toric AF-algebras and faithful representation of the mapping class groups. https://arxiv.org/abs/math/0111173

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