Non-cyclotomic Presentations of Modules and Prime-order Automorphisms of Kirchberg Algebras
| dc.creator | Spielberg, Jack | |
| dc.date | 2005-04-14 | |
| dc.date.accessioned | 2026-07-07T05:19:06Z | |
| dc.date.available | 2026-07-07T05:19:06Z | |
| dc.description | We prove the following theorem: let $A$ be a UCT Kirchberg algebra, and let $α$ be a prime-order automorphism of $K_*(A)$, with $α([1_A])=[1_A]$ in case $A$ is unital. Then $α$ is induced from an automorphism of $A$ having the same order as $α$. This result is extended to certain instances of an equivariant inclusion of Kirchberg algebras. As a crucial ingredient we prove the following result in representation theory: every module over the integral group ring of a cyclic group of prime order has a natural presentation by generalized lattices with no cyclotomic summands. | |
| dc.description | 19 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/math/0504287 | |
| dc.identifier | http://arxiv.org/abs/math/0504287 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74896 | |
| dc.subject | Operator Algebras | |
| dc.subject | Rings and Algebras | |
| dc.title | Non-cyclotomic Presentations of Modules and Prime-order Automorphisms of Kirchberg Algebras | |
| dc.type | text |