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• W3098881614 abstract "By deploying dense subalgebras of $ell^1(G)$ we generalize the Bass conjecture in terms of Connes' cyclic homology theory. In particular, we propose a stronger version of the $ell^1$-Bass Conjecture. We prove that hyperbolic groups relative to finitely many subgroups, each of which posses the polynomial conjugacy-bound property and nilpotent periodicity property, satisfy the $ell^1$-Stronger-Bass Conjecture. Moreover, we determine the conjugacy-bound for relatively hyperbolic groups and compute the cyclic cohomology of the $ell^1$-algebra of any discrete group." @default.
• W3098881614 created "2020-11-23" @default.
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• W3098881614 creator A5038840307 @default.
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• W3098881614 date "2010-01-01" @default.
• W3098881614 modified "2023-10-17" @default.
• W3098881614 title "Relatively hyperbolic groups, rapid decay algebras, and a generalization of the Bass conjecture" @default.
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• W3098881614 doi "https://doi.org/10.4171/jncg/50" @default.
• W3098881614 hasPublicationYear "2010" @default.
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