Relations between asymptotic and Fredholm representations
| dc.creator | Manuilov, V. M. | |
| dc.creator | Mishchenko, A. S. | |
| dc.date | 1997-07-16 | |
| dc.date.accessioned | 2026-07-07T09:13:49Z | |
| dc.date.available | 2026-07-07T09:13:49Z | |
| dc.description | We prove that for matrix algebras $M_n$ there exists a monomorphism $(\prod_n M_n/\oplus_n M_n)\otimes C(S^1) \to {\cal Q} $ into the Calkin algebra which induces an isomorphism of the $K_1$-groups. As a consequence we show that every vector bundle over a classifying space $Bπ$ which can be obtained from an asymptotic representation of a discrete group $π$ can be obtained also from a representation of the group $π\times Z$ into the Calkin algebra. We give also a generalization of the notion of Fredholm representation and show that asymptotic representations can be viewed as asymptotic Fredholm representations. | |
| dc.description | LaTeX v2.09, 10 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/funct-an/9707005 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9707005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152459 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Relations between asymptotic and Fredholm representations | |
| dc.type | text |