HOMOTOPY TYPE OF THE SPACE OF FINITE PROPAGATION UNITARY OPERATORS ON Z

研究成果: ジャーナルへの寄稿学術誌査読

2 被引用数 (Scopus)

抄録

The index theory for the space of finite propagation unitary operators was developed by Gross, Nesme, Vogts and Werner from the viewpoint of quantum walks in mathematical physics. In particular, they proved that π0 of the space is determined by the index. However, nothing is known about the higher homotopy groups. In this article, we describe the homotopy type of the space of finite propagation unitary operators on the Hilbert space of square summable C-valued Z-sequences, so we can determine its homotopy groups. We also study the space of (end-)periodic finite propagation unitary operators.

本文言語英語
ページ(範囲)375-400
ページ数26
ジャーナルHomology, Homotopy and Applications
25
1
DOI
出版ステータス出版済み - 2023

!!!All Science Journal Classification (ASJC) codes

  • 数学(その他)

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