Overview

This memoir develops, discusses and compares a range of commutative and non-commutative invariants defined for projection method tilings and point patterns. The projection method refers to patterns, particularly the quasiperiodic patterns, constructed by the projection of a strip of a high dimensional integer lattice to a smaller dimensional Euclidean space. In the first half of the memoir the acceptance domain is very general - any compact set which is the closure of its interior - while in the second half the authors concentrate on the so-called canonical patterns. The topological invariants used are various forms of $K$-theory and cohomology applied to a variety of both $C^*$-algebras and dynamical systems derived from such a pattern.

Full Product Details

Author:   Alan Forrest ,  John Hunton ,  Johannes Kellendonk
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   illustrated edition
Volume:   No. 159
Weight:   0.255kg
ISBN:  

9780821829653

ISBN 10:   0821829653
Pages:   120
Publication Date:   30 August 2002
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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