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

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Abstract

We prove the following theorem: let A be a UCT Kirchberg algebra, and let be a prime-order automorphism of K*(A), with ([1A]) = [1A] 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 languageEnglish (US)
Pages (from-to)211-230
Number of pages20
JournalJournal fur die Reine und Angewandte Mathematik
Issue number613
DOIs
StatePublished - Dec 19 2007
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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