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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/38305

Title

Groups acting on products of trees, tiling systems and analytic K-theory

Author/Creator

Kimberley, Jason S.;  Robertson, Guyan

Description

Let T₁ and T₂ be homogeneous trees of even degree ≥ 4. A BM group Γ is a torsion-free discrete subgroup of Aut(T₁)×Aut(T₂) which acts freely and transitively on the vertex set of T₁×T₂. This article studies dynamical systems associated with BM groups. A higher rank Cuntz-Krieger algebra A(Γ) is associated both with a 2-dimensional tiling system and with a boundary action of a BM group Γ. An explicit expression is given for the K-theory of A(Γ). In particular K₀=K₁. A complete enumeration of possible BM groups Γ is given for a product homogeneous trees of degree 4, and the K-groups are computed.

Relation

New York Journal of Mathematics Vol. 8, p. 111-131

Relation

http://nyjm.albany.edu:8000/j/2002/8_111.html

Date

2002

Publisher

Electronic Journals Project, University at Albany, Department of Mathematics & Science

Keyword(s)

group actions;  trees;  K-theory;  C*-algebras

Resource Type

journal article

Identifier

http://hdl.handle.net/1959.13/38305

Identifier

ISSN:1076-9803

Language

eng

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Subject

"New York Journal of Mathematics"

 

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