Construction and structure of non-commutative three dimensional spheres 非可換3次元球面の構成とその構造
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著者
書誌事項
- タイトル
-
Construction and structure of non-commutative three dimensional spheres
- タイトル別名
-
非可換3次元球面の構成とその構造
- 著者名
-
松本, 健吾
- 著者別名
-
マツモト, ケンゴ
- 学位授与大学
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東京都立大学
- 取得学位
-
理学博士
- 学位授与番号
-
甲第257号
- 学位授与年月日
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1991-03-25
注記・抄録
博士論文
目次
- Table of Contents / (0005.jp2)
- Introduction / p1 (0008.jp2)
- Chapter I Non-commutative S³(deformed by real numbers) / p13 (0020.jp2)
- §1 The construction / p13 (0020.jp2)
- §2 The polynomial *-algebra of the operators S and T / p18 (0025.jp2)
- §3 The C*-algebra generated by S and T / p30 (0037.jp2)
- §4 The universality of the non-commutative S³ / p37 (0044.jp2)
- Chapter II Non-commutative S³(deformed by continuous functions) / p44 (0051.jp2)
- §1 Change of generators / p44 (0051.jp2)
- §2 The construction / p50 (0057.jp2)
- §3 The structure as C*-algebra / p53 (0060.jp2)
- Chapter III Non-commutative Hopf fibering and K-theory / p66 (0073.jp2)
- §1 Non-commutative Hopf fibering / p66 (0073.jp2)
- §2 K-group and K-homology / p72 (0079.jp2)
- Chapter IV Smooth structure,actions of the Lie algebra su(2) and the Haar measure on non-commutative S³ / p76 (0083.jp2)
- §1 Introduction / p76 (0083.jp2)
- §2 The smooth functions on S³ / p79 (0086.jp2)
- §3 The smooth elements of non-commutative S³ / p85 (0092.jp2)
- §4 The bridge map between[数式]and[数式] / p100 (0107.jp2)
- §5 Differential representation of su(2)on non-commutative S³ / p106 (0113.jp2)
- §6 Haar measure / p111 (0118.jp2)
- Chapter V Non-commutative lens spaces / p119 (0126.jp2)
- §1 The construction and the structure / p119 (0126.jp2)
- §2 The universal cover / p128 (0135.jp2)
- §3 Some examples / p132 (0139.jp2)
- §4 Ext-Theory / p136 (0143.jp2)
- §5 K-Theory and generators / p146 (0153.jp2)
- Chapter VI Miscellaneous facts / p157 (0164.jp2)
- §1 Classification of non-commutative S³ / p157 (0164.jp2)
- §2 Realization as Rieffel's deformation quantization / p157 (0164.jp2)
- §3 Higher dimensional analogue / p162 (0169.jp2)
