96 citations · 190 across the 18 of their papers we have counts for
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K-homological finiteness and hyperbolic groups
Heath Emerson, Bogdan Nica
Motivated by classical facts concerning closed manifolds, we introduce a strong finiteness property in K-homology. We say that a C*-algebra has uniformly summable K-homology if all…
Finitely summable Fredholm modules for boundary actions of hyperbolic groups
Heath Emerson, Bogdan Nica
We construct a family of odd, finitely summable Fredholm modules over the crossed product C*-algebra $C(\bd \G)\rtimes \G$ associated to the action of a non-elementary hyperbolic g…
Spectral morphisms, K-theory, and stable ranks
Bogdan Nica
We give a brief account of the interplay between spectral morphisms, K-theory, and stable ranks in the context of Banach algebras.
Homotopical stable ranks for Banach algebras
Bogdan Nica
The connected stable rank and the general stable rank are homotopy invariants for Banach algebras, whereas the Bass stable rank and the topological stable rank should be thought of…
Relatively spectral morphisms and applications to K-theory
Bogdan Nica
Spectral morphisms between Banach algebras are useful for comparing their K-theory and their "noncommutative dimensions" as expressed by various notions of stable ranks. In practic…