Trace splittings in C*-algebras of tiling systems via colourings

Alaoui, A. El Kacimi ; Parthasarathy, R. (2002) Trace splittings in C*-algebras of tiling systems via colourings Proceedings of the American Mathematical Society, 131 (4). pp. 1191-1204. ISSN 0002-9939

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Official URL: http://www.ams.org/journals/proc/2003-131-04/S0002...

Abstract

Tiles of a hierarchical tiling system are coloured with given colours. The resulting system implements colour symmetries and prescribed frequencies and is itself a hierarchical system whose prototile types admit an elegant description. The frequencies of occurrence of colours is interpreted using the unique trace on the C*-algebra of the given tiling system and the trace on the C* -algebra of the coloured tiling system.

Item Type:Article
Source:Copyright of this article belongs to American Mathematical Society.
ID Code:72098
Deposited On:28 Nov 2011 05:59
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