Freed-Moore K-theory

Gomi, Kiyonori

Freed-Moore K-theory

Kiyonori Gomi

May 25, 2017

61 pages

e-Print:

1705.09134 [math.KT]

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Abstract: (arXiv)

The twisted equivariant K-theory given by Freed and Moore is a K-theory which unifies twisted equivariant complex K-theory, Atiyah's `Real' K-theory, and their variants. In a general setting, we formulate this K-theory by using Fredholm operators, and establish basic properties such as the Bott periodicity and the Thom isomorphism. We also provide formulations of the K-theory based on Karoubi's gradations in both infinite and finite dimensions, clarifying their relationship with the Fredholm formulation.

Note:

61 pages, LaTeX 2e; Some proof are revised

References(44)

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