Gap-labelling for three-dimensional aperiodic solids

Authors
Bellissard, J Kellendonk, J Legrand, A
Citation
J. Bellissard et al., Gap-labelling for three-dimensional aperiodic solids, CR AC S I, 332(6), 2001, pp. 521-525
Citations number
11
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
332
Issue
6
Year of publication
2001
Pages
521 - 525
Database
ISI
SICI code
0764-4442(20010315)332:6<521:GFTAS>2.0.ZU;2-U
Abstract
Let X be totally disconnected compact Hausdorff space with an action alpha of Z(3) by commuting homeomorphisms and with an invariant probability measu re mu. We show that tau K-*(0)(C(X) times sign with bar connected to right of it (alpha)Z(3)) = mu (C(X, Z)) where tau is the trace induced on the cro ssed product C(X) times sign with bar connected to right of it (alpha)Z(3). (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevie r SAS.