3 papers
math.OA2009
New holomorphically closed subalgebras of -algebras of hyperbolic groups
Michael Puschnigg
We construct dense, unconditional subalgebras of the reduced group -algebra of a word-hyperbolic group, which are closed under holomorphic functional calculus and possess many…
math.OA2008
Finitely summable Fredholm modules over higher rank groups and lattices
Michael Puschnigg
We give a complete classification (up to smooth homotopy) of finitely summable Fredholm representations (Fredholm modules) over higher rank groups and lattices. Our results are a d…
math.KT2006
Characters of Fredholm modules and a problem of Connes
Michael Puschnigg
It is shown that Connes' character formula for unbounded, theta-summable Fredholm modules represents the abstract Chern-character in K-homology. As an application, the character of…