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arXiv:math/0111173 [math.AG]AbstractReferencesReviewsResources

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

Igor Nikolaev

Published 2001-11-15, updated 2011-04-08Version 9

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).

Comments: 10 pages, 1 figure; revised to death
Journal: in Three papers on operator algebras in geometric topology pp 33-46 LAP Lambert Academic Publishing (german SamIzdat) Saarbrucken 2013 ISBN 978-3-659-44488-3
Categories: math.AG, math.OA
Subjects: 14H10, 46L40, 58F10
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