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

Jack Spielberg

doi:10.1515/CRELLE.2007.098

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

Jack Spielberg

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We prove the following theorem: let A be a UCT Kirchberg algebra, and let be a prime-order automorphism of K_*(A), with ([1_A]) = [1_A] in case A is unital. Then is induced from an automorphism of A having the same order as . 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.

Original language	English (US)
Pages (from-to)	211-230
Number of pages	20
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	613
DOIs	https://doi.org/10.1515/CRELLE.2007.098
State	Published - Dec 19 2007
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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

Abstract

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