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A note on the Künneth theorem for nonnuclear C*-algebras
Otgonbayar Uuye
In this mostly expository note, we revisit the Künneth theorem in -theory of nonnuclear C*-algebras. We show that, using examples considered by Skandalis, there are algebras sat…
Unsuspended Connective -Theory
Otgonbayar Uuye
We prove connective versions of results by Shulman [Shu10] and Dadarlat-Loring [DL94]. As a corollary, we see that two separable -algebras of the form , wher…
Restriction maps in equivariant -theory
Otgonbayar Uuye
We extend McClure's results on the restriction maps in equivariant -theory to bivariant -theory: Let be a compact Lie group and and be --algebras. Suppose…
Homotopy Theory for C^{*}-algebras
Otgonbayar Uuye
Category of fibrant objects is a convenient framework to do homotopy theory, introduced and developed by Ken Brown. In this paper, we apply it to the category of C^{*}-algebras. In…
Multiplicativity of the JLO-character
Otgonbayar Uuye
We prove that the Jaffe-Lesniewski-Osterwalder character is compatible with the -structure of Getzler and Jones.
The Baum-Connes Conjecture for KK-theory
Otgonbayar Uuye
We define and compare two bivariant generalizations of the topological -group for a topological group . We consider the Baum-Connes conjecture in this context and…