UBC Theses and Dissertations

UBC Theses Logo

UBC Theses and Dissertations

Equivariant K-theory, groupoids and proper actions Lopez, Jose Maria Cantarero


Equivariant K-theory for actions of groupoids is defined and shown to be a cohomology theory on the category of finite equivariant CW-complexes. Under some conditions, these theories are representable. We use this fact to define twisted equivariant K-theory for actions of groupoids. A classification of possible twistings is given. We also prove a completion theorem for twisted and untwisted equivariant K-theory. Finally, some applications to proper actions of Lie groups are discussed.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International