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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…