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Orientation of quantum Cayley trees and applications
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Roland Vergnioux
Published/Copyright:
July 27, 2005
Abstract
We introduce the quantum Cayley graphs associated to quantum discrete groups and study them in the case of trees. We focus in particular on the notion of quantum ascending orientation and describe the associated space of edges at infinity, which is an outcome of the non-involutivity of the edge-reversing operator and vanishes in the classical case. We end with applications to Property AO and K-theory.
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Published Online: 2005-07-27
Published in Print: 2005-03-08
© Walter de Gruyter
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Articles in the same Issue
- The homology of string algebras I
- Local tame lifting for GL(n) III: explicit base change and Jacquet-Langlands correspondence
- Orientation of quantum Cayley trees and applications
- Absolute Chow-Künneth projectors for modular varieties
- Weakly symmetric algebras of Euclidean type
- Differential orbit spaces of discrete dynamical systems
Articles in the same Issue
- The homology of string algebras I
- Local tame lifting for GL(n) III: explicit base change and Jacquet-Langlands correspondence
- Orientation of quantum Cayley trees and applications
- Absolute Chow-Künneth projectors for modular varieties
- Weakly symmetric algebras of Euclidean type
- Differential orbit spaces of discrete dynamical systems
