𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Non-cyclotomic presentations of modules and prime-order automorphisms of Kirchberg algebras

✍ Scribed by Spielberg, Jack


Book ID
118740432
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2007
Tongue
English
Weight
210 KB
Volume
2007
Category
Article
ISSN
0075-4102

No coin nor oath required. For personal study only.

✦ Synopsis


We prove the following theorem: let A be a UCT Kirchberg algebra, and let a be a prime-order automorphism of K Ã ðAÞ, with að½1 A Þ ¼ ½1 A in case A is unital. Then a is induced from an automorphism of A having the same order as a. 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.


📜 SIMILAR VOLUMES