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- W3035743854 abstract "Building on recent work of Jaikin-Zapirain, we provide a homological criterion for a ring to be a pseudo-Sylvester domain, that is, to admit a non-commutative field of fractions over which all stably full matrices become invertible. We use the criterion to study skew Laurent polynomial rings over free ideal rings (firs). As an application of our methods, we prove that crossed products of division rings with free-by-cyclic and surface groups are pseudo-Sylvester domains unconditionally and Sylvester domains if and only if they admit stably free cancellation. This relies on the recent proof of the Farrell-Jones conjecture for poly-free groups and extends previous results of Linnell-Luck and Jaikin-Zapirain on universal localizations and universal fields of fractions of such crossed products." @default.
- W3035743854 created "2020-06-19" @default.
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- W3035743854 date "2020-06-15" @default.
- W3035743854 modified "2023-09-26" @default.
- W3035743854 title "Pseudo-Sylvester domains and skew Laurent polynomials over firs" @default.
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