23 citations · 81 across the 7 of their papers we have counts for
7 papers
Equivariant -theory and model categories
Anupam Datta, Michael Joachim
We cast Kasparov's equivariant KK-theory in the framework of model categories. We obtain a stable model structure on a certain category of locally multiplicative convex --a…
Model structure on projective systems of -algebras and bivariant homology theories
Ilan Barnea, Michael Joachim, Snigdhayan Mahanta
Using the machinery of weak fibration categories due to Schlank and the first author, we construct a convenient model structure on the pro-category of separable -algebras $\ma…
Twisted Spin cobordism and positive scalar curvature
Fabian Hebestreit, Michael Joachim
We show how a suitably twisted Spin-cobordism spectrum connects to the question of existence of metrics of positive scalar curvature on closed, smooth manifolds by building on fund…
Universal twist in Equivariant K-theory for proper and discrete actions
Noe Barcenas, Jesus Espinoza, Michael Joachim +1
We define equivariant projective unitary stable bundles as the appropriate twists when defining K-theory as sections of bundles with fibers the space of Fredholm operators over a H…
Topological K-(co-)homology of classifying spaces of discrete groups
Michael Joachim, Wolfgang Lueck
Let G be a discrete group. We give methods to compute for a generalized (co-)homology theory its values on the Borel construction (EG x X)/G of a proper G-CW-complex X satisfying c…
Realizing Kasparov's KK-theory groups as the homotopy classes of maps of a Quillen model category
Michael Joachim, Mark W. Johnson
In this article we build a Quillen model category structure on the category of sequentially complete l.m.c.-C*-algebras such that the corresponding homotopy classes of maps Ho(A,B)…
Positive and negative results concerning the Gromov-Lawson-Rosenberg conjecture
Michael Joachim, Thomas Schick
The Gromov-Lawson-Rosenberg-conjecture for a group G states that a closed spin manifold M^n (n>4) with fundamental group G admits a metric with positive scalar curvature if and onl…