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Bott periodicity and Thom isomorphism in Freed-Moore K-theory

Hold Date
2017-11-10 16:00〜2017-11-10 17:00
Lecture Room S W1-C-514, West Zone 1, Ito campus, Kyushu University
Object person
Kiyonori GOMI (Shishu University)

The twisted equivariant K-theory, introduced by Freed and Moore, handles in a unified way known topological K-theories such as the usual complex K-theory and Atiyah's KR-theory. The thing I would like to talk is about basic properties  of this K-theory. First, it has the Bott periodicity, and as its consequence certain twists behave as degree shifts. The Thom isomorphism theorem also holds true, in which a variant of the spin structure appears. If time permits, I will talk abut the relationship between the formulation by using Fredholm operators and that by using Karoubi's triple.