抄録
We study the homotopy type of the space of the unitary group U1(C* u(|Zn|)) of the uniform Roe algebra C* u(|Zn|) of Zn. We show that the stabilizing map U1(C* u(|Zn|)) ? U8(C* u(|Zn|)) is a homotopy equivalence. Moreover, when n = 1, 2, we determine the homotopy type of U1(C* u(|Zn|)), which is the product of the unitary group U1(C*(|Zn|)) (having the homotopy type of U8(C) or Z B U8(C) depending on the parity of n) of the Roe algebra C*(|Zn|) and rational Eilenberg-MacLane spaces;copy 2023 World Scientific Publishing Company.
本文言語 | 英語 |
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ページ(範囲) | 495-512 |
ページ数 | 18 |
ジャーナル | Journal of Topology and Analysis |
巻 | 15 |
号 | 2 |
DOI | |
出版ステータス | 出版済み - 6月 1 2023 |
!!!All Science Journal Classification (ASJC) codes
- 分析
- 幾何学とトポロジー