nLab Michael Joachim

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Selected writings

On KK-theory via homotopical structure on C*-algebras (and using the notion of l.m.c.-C*-algebra):

• Michael Joachim, Mark Johnson, Realizing Kasparov’s KK-theory groups as the homotopy classes of maps of a Quillen model category (arXiv:0705.1971)

On 3-twisted equivariant K-theory via the universal equivariant $PU(\mathcal{H})$-bundle:

• Noé Bárcenas, Jesús Espinoza, Michael Joachim, Bernardo Uribe, Universal twist in Equivariant K-theory for proper and discrete actions, Proceedings of the London Mathematical Society, Volume 108, Issue 5 (2014) (arXiv:1202.1880, doi:10.1112/plms/pdt061)

On bivariant cohomology:

• I. Barnea, M. Joachim, S. Mahanta, (2015). Model structure on projective systems of C∗-algebras and bivariant homology theories, arXiv:1508.04283

category: people