61 citations · 438 across the 47 of their papers we have counts for
6 papers · 1 filter
Classification of Connections on Higher-Dimensional Non-Commutative Tori
Ryszard Nest, Rolf Dyre Svegstrup
If X is a full, finitely generated, projective module over a non-commutative torus, the Yang-Mills functional attains its minimum exactly on the flat connections on X. We classify…
C*-Algebras over Topological Spaces: The Bootstrap Class
Ralf Meyer, Ryszard Nest
We carefully define and study C*-algebras over topological spaces, possibly non-Hausdorff, and review some relevant results from point-set topology along the way. We explain the tr…
Chern character for twisted complexes
Paul Bressler, Alexander Gorokhovsky, Ryszard Nest +1
We construct a Chern character of a perfect complex of twisted modules over an algebroid stack.
Homological algebra in bivariant K-theory and other triangulated categories
Ralf Meyer, Ryszard Nest
Bivariant (equivariant) K-theory is the standard setting for non-commutative topology. We may carry over various techniques from homotopy theory and homological algebra to this set…
KK-theory and Spectral Flow in von Neumann Algebras
Jens Kaad, Ryszard Nest, Adam Rennie
We present a definition of spectral flow relative to any norm closed ideal J in any von Neumann algebra N. Given a path D(t) of selfadjoint operators in N which are invertible in N…
Deformations of gerbes on smooth manifolds
P. Bressler, A. Gorokhovsky, R. Nest +1
We identify the 2-groupoid of deformations of a gerbe on a smooth manifold with the Deligne 2-groupoid of a corresponding twist of the DGLA of local Hochschild cochains on infinite…