A remark on the Isomorphism Conjectures
classification
🧮 math.KT
math.AT
keywords
groupsisomorphismacyclicappropriatelyassemblybijectivityclassclasses
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We show that for various natural classes of groups and appropriately defined K- and L-theoretic functors, injectivity or bijectivity of the assembly map follows from the Isomorphism Conjecture being true for acyclic groups lying within that class.
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