MATRIX Book Series, pages 203-227

Application of Semifinite Index Theory to Weak Topological Phases

Chris Bourne ^{1, 2}

Hermann Schulz-Baldes ¹

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Department Mathematik, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany |

Advanced Institute for Materials Research, Tohoku University, Sendai, Japan |

Publication type: Book Chapter

Publication date: 2018-04-10

Springer Nature

Journal: MATRIX Book Series

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ISSN: 25233041, 2523305X

DOI: 10.1007/978-3-319-72299-3_10

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Abstract

Recent work by Prodan and the second author showed that weak invariants of topological insulators can be described using Kasparov’s KK-theory. In this note, a complementary description using semifinite index theory is given. This provides an alternative proof of the index formulae for weak complex topological phases using the semifinite local index formula. Real invariants and the bulk-boundary correspondence are also briefly considered.

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Communications in Mathematical Physics	Communications in Mathematical Physics, 1, 50% Communications in Mathematical Physics 1 publication, 50%
Journal of Physics A: Mathematical and Theoretical	Journal of Physics A: Mathematical and Theoretical, 1, 50% Journal of Physics A: Mathematical and Theoretical 1 publication, 50%
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Springer Nature	Springer Nature, 1, 50% Springer Nature 1 publication, 50%
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Springer Nature

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MATRIX Book Series

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—

CiteScore

—

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—

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25233041 (Print)

2523305X (Electronic)

Application of Semifinite Index Theory to Weak Topological Phases

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