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- W2087640281 abstract "We prove the following theorem: let $A$ be a UCT Kirchberg algebra, and let $alpha$ be a prime-order automorphism of $K_*(A)$, with $alpha([1_A])=[1_A]$ in case $A$ is unital. Then $alpha$ is induced from an automorphism of $A$ having the same order as $alpha$. 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." @default.
- W2087640281 created "2016-06-24" @default.
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- W2087640281 date "2007-01-19" @default.
- W2087640281 modified "2023-09-23" @default.
- W2087640281 title "Non-cyclotomic presentations of modules and prime-order automorphisms of Kirchberg algebras" @default.
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- W2087640281 doi "https://doi.org/10.1515/crelle.2007.098" @default.
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