A C*-algebra of geometric operators on self-similar CW-complexes. Novikov-Shubin and L^2-Betti numbers
| dc.creator | Cipriani, Fabio | |
| dc.creator | Guido, Daniele | |
| dc.creator | Isola, Tommaso | |
| dc.date | 2006-07-24 | |
| dc.date.accessioned | 2026-07-07T12:24:42Z | |
| dc.date.available | 2026-07-07T12:24:42Z | |
| dc.description | A class of CW-complexes, called self-similar complexes, is introduced, together with C*-algebras A_j of operators, endowed with a finite trace, acting on square-summable cellular j-chains. Since the Laplacian Delta_j belongs to A_j, L^2-Betti numbers and Novikov-Shubin numbers are defined for such complexes in terms of the trace. In particular a relation involving the Euler-Poincare' characteristic is proved. L^2-Betti and Novikov-Shubin numbers are computed for some self-similar complexes arising from self-similar fractals. | |
| dc.description | 30 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/math/0607603 | |
| dc.identifier | http://arxiv.org/abs/math/0607603 | |
| dc.identifier | J. Funct. Anal., 256 (2009) 603-634. | |
| dc.identifier | doi:10.1016/j.jfa.2008.10.013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214411 | |
| dc.subject | Operator Algebras | |
| dc.subject | Algebraic Topology | |
| dc.subject | Combinatorics | |
| dc.subject | 58J50, 46Lxx, 57-xx, 57M15 | |
| dc.title | A C*-algebra of geometric operators on self-similar CW-complexes. Novikov-Shubin and L^2-Betti numbers | |
| dc.type | text |