These are notes for a course given in the Advanced School on Non-commutative Geometry
held at ICTP, Trieste in August 2004. In these notes (37 pages) we define certain (co) …

Spectral Sequences for Cyclic Homology Page 1 Progress in Mathematics, Vol. 324, 99–129 c
2017 Springer International Publishing Spectral Sequences for Cyclic Homology D. Kaledin To …

Equivariant Stable Homotopy and Segal's Burnside Ring Conjecture Page 1 Annals of
Mathematics, 120 (1984), 189-224 Equivariant stable homotopy and Segal's Burnside ring …

We construct localization cofibration sequences for the topological Hochschild homology
(THH) and topological cyclic homology (TC) of small spectral categories. Using a global …

We define and study equivariant periodic cyclic homology for locally compact groups. This
can be viewed as a non-commutative generalization of equivariant de Rham cohomology …

Relying on properties of the inductive tensor product, we construct cyclic type homology
theories for certain nuclear algebras. In this context, we establish continuity theorems. We …

In these realizations for K-homology, concrete cycles are described in topological or
analytical terms. Since both realizations lead to the same theory, a natural isomorphism …

Higher homotopy operations and cohomology Page 1 J. K-Theory 5 (2010), 167–200 doi:10.1017/is010001011jkt099
©2010 ISOPP Higher homotopy operations and cohomology by DAVID BLANC, MARK W …

The Reidemeister torsion is an invariant for a CW-complex and a representation of its
fundamental group. In other words, this invariant associates with the local system for a …

For R a discrete ring, M a simplicial R–bimodule, and X a simplicial set, we construct the
Goodwillie Taylor tower of the reduced K–theory of parametrized endomorphisms K ̃ (R; M ̃ …