72 citations · 1.2k across the 81 of their papers we have counts for
9 papers · 1 filter
Excision in Hochschild and cyclic homology without continuous linear sections
Ralf Meyer
We prove that continuous Hochschild and cyclic homology satisfy excision for extensions of nuclear H-unital Frechet algebras and use this to compute them for the algebra of Whitney…
Localisation and colocalisation of triangulated categories at thick subcategories
Hvedri Inassaridze, Tamaz Kandelaki, Ralf Meyer
Given a thick subcategory of a triangulated category, we define a colocalisation and a natural long exact sequence that involves the original category and its localisation and colo…
E-Theory for C*-algebras over topological spaces
Marius Dadarlat, Ralf Meyer
We define E-theory for separable C*-algebras over second countable topological spaces and establish its basic properties. This includes an approximation theorem that relates the E-…
Smooth and rough modules over self-induced algebras
Ralf Meyer
A non-unital algebra in a closed monoidal category is called self-induced if the multiplication induces an isomorphism between A\otimes_A A and A. For such an algebra, we define sm…
Equivariant embedding theorems and topological index maps
Ralf Meyer, Heath Emerson
The construction of topological index maps for equivariant families of Dirac operators requires factoring a general smooth map through maps of a very simple type: zero sections of…
A higher category approach to twisted actions on C*-algebras
Alcides Buss, Chenchang Zhu, Ralf Meyer
C*-algebras form a 2-category with \Star{}homomorphisms or correspondences as morphisms and unitary intertwiners as 2-morphisms. We use this structure to define weak actions of 2-c…