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Noncommutative geometry of algebraic curves
Author(s):
Igor
V.
Nikolaev
Journal:
Proc. Amer. Math. Soc.
137
(2009),
3283-3290.
MSC (2000):
Primary 14H10, 46L40, 58F10
Posted:
May 7, 2009
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Abstract:
A covariant functor from the category of generic complex algebraic curves to a category of the  -algebras is constructed. The construction is based on a representation of the Teichmüller space of a curve by the measured foliations due to Douady, Hubbard, Masur and Thurston. The functor maps isomorphic algebraic curves to the stably isomorphic  -algebras.
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Additional Information:
Igor
V.
Nikolaev
Affiliation:
The Fields Institute for Mathematical Sciences, Toronto, Ontario, M5T 3J1, Canada
Address at time of publication:
101-315 Holmwood Avenue, Ottawa, Ontario, K1S 2R2, Canada
Email:
igor.v.nikolaev@gmail.com
DOI:
10.1090/S0002-9939-09-09917-1
PII:
S 0002-9939(09)09917-1
Keywords:
Complex algebraic curves,
$C^*$-algebras
Received by editor(s):
September 5, 2008,
Received by editor(s) in revised form:
February 13, 2009
Posted:
May 7, 2009
Additional Notes:
The author was partially supported by NSERC
Communicated by:
Varghese Mathai
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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