Article
Licensed
Unlicensed
Requires Authentication
Non-cyclotomic presentations of modules and prime-order automorphisms of Kirchberg algebras
-
Jack Spielberg
Published/Copyright:
February 5, 2008
Abstract
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([1A]) = [1A] 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.
Received: 2005-04-19
Revised: 2006-12-28
Published Online: 2008-02-05
Published in Print: 2007-12-19
© Walter de Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Elliptic divisibility sequences and undecidable problems about rational points
- An analog of the Iwasawa conjecture for a compact hyperbolic threefold
- Purely infinite C*-algebras of real rank zero
- Capitulation, ambiguous classes and the cohomology of the units
- Heat semigroup and functions of bounded variation on Riemannian manifolds
- Pseudodifferential operators on locally compact abelian groups and Sjöstrand's symbol class
- Galois module structure of Galois cohomology and partial Euler-Poincaré characteristics
- Detecting pro-p-groups that are not absolute Galois groups
- Twisted Burnside-Frobenius theory for discrete groups
- Non-cyclotomic presentations of modules and prime-order automorphisms of Kirchberg algebras
Articles in the same Issue
- Elliptic divisibility sequences and undecidable problems about rational points
- An analog of the Iwasawa conjecture for a compact hyperbolic threefold
- Purely infinite C*-algebras of real rank zero
- Capitulation, ambiguous classes and the cohomology of the units
- Heat semigroup and functions of bounded variation on Riemannian manifolds
- Pseudodifferential operators on locally compact abelian groups and Sjöstrand's symbol class
- Galois module structure of Galois cohomology and partial Euler-Poincaré characteristics
- Detecting pro-p-groups that are not absolute Galois groups
- Twisted Burnside-Frobenius theory for discrete groups
- Non-cyclotomic presentations of modules and prime-order automorphisms of Kirchberg algebras
