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End invariants of amalgamated free products

✍ Scribed by Bradley W. Jackson

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
676 KB
Volume
23
Category
Article
ISSN
0022-4049

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## Abstract J. Cuntz has conjectured the existence of two cyclic six terms exact sequences relating the __KK__ ‐groups of the amalgamated free product __A__ ~1 βˆ—οΈ __B__~ __A__ ~2~ to the __KK__ ‐groups of __A__ ~1~, __A__ ~2~ and __B__. First we establish automatic existence of strict and absorbin

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We find a necessary and sufficient condition for an amalgamated free product of arbitrarily many isomorphic residually \(p\)-finite groups to be residually \(p\)-finite. We also prove that this condition is sufficient for a free product of any finite number of residually \(p\)-finite groups, amalgam