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Assembly maps for topological cyclic homology of group algebras

Assembly maps for topological cyclic homology of group algebras

Abstract We use assembly maps to study <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>๐“๐‚</m:mi> <m:mo>โข</m:mo> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:mi>๐”ธ</m:mi> <m:mo>โข</m:mo> <m:mrow> <m:mo>[</m:mo> <m:mi>G</m:mi> <m:mo>]</m:mo> </m:mrow> </m:mrow> <m:mo>;</m:mo> <m:mi>p</m:mi> <m:mo>)</m:mo> </m:mrow> </m:mrow> </m:math> \mathbf{TC}(\mathbb{A}[G];p) , the topological cyclic homology at a prime p of the group algebra of a discrete group G with coefficients โ€ฆ