Volume 10, issue 3 (2010)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Continuous interval exchange actions

Christopher F Novak

Algebraic & Geometric Topology 10 (2010) 1609–1625
Abstract

Let denote the group of all interval exchange transformations on 0 x < 1 Given a suitable topological group structure on , it is possible to classify all one-parameter interval exchange actions (continuous homomorphisms ). In particular, up to conjugacy in , any one-parameter interval exchange action factors through a rotational torus action.

Keywords
interval exchange, group action, one-parameter subgroup
Mathematical Subject Classification 2000
Primary: 37E05, 54H15
Secondary: 57S05, 37A10, 57M60
References
Publication
Received: 20 February 2010
Accepted: 29 April 2010
Published: 21 July 2010
Authors
Christopher F Novak
Department of Mathematics and Statistics
The University of Michigan-Dearborn
4901 Evergreen Road
Dearborn, MI 48128 USA
http://www-personal.umd.umich.edu/~cfnovak/Site/Homepage.html