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Noncommutative tori and their crossed products by finite groups
비가환 원환체와 유한군에 의한 교차곱

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Authors
이재협
Advisor
정자아
Major
자연과학대학 수리과학부
Issue Date
2015-02
Publisher
서울대학교 대학원
Keywords
비가환 원환체군작용$C^*$-교차곱AF 대수
Description
학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2015. 2. 정자아.
Abstract
We study canonical group actions on higher dimensional noncommutative tori which generalize the SL2(Z) actions on 2-dimensional noncommutative tori, namely, rotation algebras and show that the crossed products of higher
dimensional simple tori by canonical actions of finite groups are not necessarily AF algebras but AT algebras. This result on non-AF crossed products is contrasted with the recently known fact that the crossed products
of irrational rotation algebras by finite subgroups of SL2(Z) are always AF aglebras.
Language
English
URI
https://hdl.handle.net/10371/121290
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Ph.D. / Sc.D._수리과학부)
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