Lefschetz numbers for C*-algebras
| dc.creator | Emerson, Heath | |
| dc.date | 2007-08-31 | |
| dc.date | 2009-02-10 | |
| dc.date.accessioned | 2026-07-07T12:39:01Z | |
| dc.date.available | 2026-07-07T12:39:01Z | |
| dc.description | Using Poincare duality, we formulate a formula of Lefschetz type which computes the Lefschetz number of an endomorphism of a separable, nuclear C*-algebra satisfying Poincare duality and the Kunneth theorem. (The Lefschetz number of an endomorphism is the graded trace of the induced map on K-theory tensored with the complex numbers, as in the classical case.) We then consider endomorphisms of Cuntz-Krieger algebras O_A. An endomorphism has an invariant, which is a permutation of an infinite set, and the contracting and expanding behavior of this permutation describes the Lefschetz number of the endomorphism. Using this description we derive a closed polynomial formula for the Lefschetz number depending on the matrix A and the presentation of the endomorphism. | |
| dc.description | Rewritten for style, minor errors corrected | |
| dc.identifier | https://arxiv.org/abs/0708.4278 | |
| dc.identifier | http://arxiv.org/abs/0708.4278 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218967 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Operator Algebras | |
| dc.subject | 19K35, 46L80 | |
| dc.title | Lefschetz numbers for C*-algebras | |
| dc.type | text |