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On crossed product rings with twisted involutions, their module categories and L-theory

2007/10/11 by Arthur Bartels, Bartels, Arthur, Wolfgang Lueck +1
Mathematics · #18F25 #57R67 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.0710.2282

openalex publication_date 2007/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Farrell-Jones Conjecture with coefficients in an additive G-category with involution. This is a variant of the L-theoretic Farrell-Jones Conjecture which originally deals with group rings with the standard involution. We show that this formulation of the conjecture can be applied to crossed product rings R*G equipped with twisted involutions and automatically implies the a priori more general fibered version.

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