Some topics in the theory of C[*]-algebras C[*]-環論における階数と融合積に関する話題
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Bibliographic Information
- Title
-
Some topics in the theory of C[*]-algebras
- Other Title
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C[*]-環論における階数と融合積に関する話題
- Author
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坂本, 高之
- Author(Another name)
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サカモト, タカシ
- University
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千葉大学
- Types of degree
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博士 (理学)
- Grant ID
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乙第2103号
- Degree year
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2000-03-14
Note and Description
博士論文
Table of Contents
- CONTENTS / p1 (0003.jp2)
- Introduction / p2 (0004.jp2)
- Chapter I Basic notions in the theory of C﹡-algebras / p8 (0010.jp2)
- §1.Definitions / p8 (0010.jp2)
- §2.The GNS-construction and its application / p10 (0012.jp2)
- §3.K-Theory for C﹡-algebras / p11 (0013.jp2)
- Chapter II Certain reduced free product C﹡-algebras with amalgamation / p13 (0015.jp2)
- §1.Basic notions for reduced free product C﹡-algebras with amalgamation / p13 (0015.jp2)
- §2.Faithfulness of free product projections of norm one / p17 (0019.jp2)
- §3.Observation of certain reduced free product C﹡-algebras with amalgamation / p20 (0022.jp2)
- §4.Related topics / p27 (0029.jp2)
- Chapter III Certain enveloping free product C﹡-algebras with amalgamation / p31 (0033.jp2)
- §1.Basic notions for enveloping free product C﹡-algebras with amalgamation / p31 (0033.jp2)
- §2.Observation of certain enveloping free product C﹡-algebras with amalgamation / p32 (0034.jp2)
- Chapter IV Some remarks on the real rank of non-unital C﹡-algebras / p37 (0039.jp2)
- §1.Definitions and basic properties of the real rank and the stable rank of C﹡-algebras / p37 (0039.jp2)
- §2.Main result / p38 (0040.jp2)
- Chapter V Certain C﹡-algebra with stable rank one and its K-theory / p43 (0045.jp2)
- §1.Preliminaries / p43 (0045.jp2)
- §2.Main result / p44 (0046.jp2)
- Acknowledgement / p46 (0048.jp2)
- References / p47 (0049.jp2)