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- W2233083561 abstract "In this paper, we study a generalization of twisted (groupoid) equivariant $mathrm{K}$-theory in the sense of Freed-Moore for $mathbb{Z}_2$-graded $mathrm{C}^*$-algebras. It is defined by using Fredholm operators on Hilbert modules with twisted representations. We compare it with another description using odd symmetries, which is a generalization of van Daele's $mathrm{K}$-theory for $mathbb{Z}_2$-graded Banach algebras. In particular, we obtain a simple presentation of the twisted equivariant $mathrm{K}$-group when the $mathrm{C}^*$-algebra is trivially graded. It is applied for the bulk-edge correspondence of topological insulators with CT-type symmetries." @default.
- W2233083561 created "2016-06-24" @default.
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- W2233083561 date "2015-11-17" @default.
- W2233083561 modified "2023-09-27" @default.
- W2233083561 title "Notes on twisted equivariant $mathrm{K}$-theory for $mathrm{C}^*$-algebras" @default.
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