Topological Hochschild homology and the Bass trace conjecture
We show that the factorization of the Hattori-Stallings rank function
through the cyclotomic trace map of Bökstedt-Hsiang-Madsen leads
to a restriction of the possible counterexamples to the Bass trace
conjecture found earlier by Linnell by different methods. As a new
consequence of this restriction, we show that a group G for
which every subgroup isomorphic to the additive group of rational
numbers has nontrivial and central image in some quotient of G
satisfies the Bass trace conjecture.
Lars Hesselholt
<larsh@math.nagoya-u.ac.jp>