Verfügbarkeit: Global aspects of ergodic group actions

Global aspects of ergodic group actions:

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Bibliographische Detailangaben
Beteilige Person:	Kechris, Alexander S. 1946- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Providence, Rhode Island American Mathematical Society [2010]
Schriftenreihe:	Mathematical surveys and monographs Volume 160
Schlagwörter:	Automorphismengruppe Ergodentheorie
Links:	http://www.gbv.de/dms/tib-ub-hannover/611625717.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021130744&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	xii, 237 Seiten
ISBN:	9780821848944 0821848941

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Datensatz im Suchindex

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adam_text	IMAGE 1 GLOBAL ASPECTS OF ERGODIC GROUP ACTIONS ALEXANDER S. KECHNS TECHNISCHE INFORMATIONSBIBLIOTHEK UNIVERSITATSBIBLIOTHEK HANNOVER AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND IMAGE 2 CONTENTS INTRODUCTION IX CHAPTER I. MEASURE PRESERVING AUTOMORPHISMS 1 1. THE GROUP AUTPF./J) 1 2. SOME BASIC FACTS ABOUT AUTPF, JJ,) 5 3. FULL GROUPS OF EQUIVALENCE RELATIONS 13 4. THE RECONSTRUCTION THEOREM 20 5. TURBULENCE OF CONJUGACY 30 6. AUTOMORPHISM GROUPS OF EQUIVALENCE RELATIONS 40 7. THE OUTER AUTOMORPHISM GROUP 44 8. COSTS AND THE OUTER AUTOMORPHISM GROUP 48 9. INNER AMENABILITY 52 CHAPTER II. THE SPACE OF ACTIONS 61 10. BASIC PROPERTIES 61 11. CHARACTERIZATIONS OF GROUPS WITH PROPERTY (T) AND HAP 79 12. THE STRUCTURE OF THE SET OF ERGODIC ACTIONS 84 13. TURBULENCE OF CONJUGACY IN THE ERGODIC ACTIONS 90 14. CONJUGACY IN ERGODIC ACTIONS OF PROPERTY (T) GROUPS 98 15. CONNECTEDNESS IN THE SPACE OF ACTIONS 105 16. THE ACTION OF SL2(Z) ON T2 113 17. NON-ORBIT EQUIVALENT ACTIONS OF FREE GROUPS 117 18. CLASSIFYING GROUP ACTIONS: A SURVEY 122 CHAPTER III. COCYCLES AND COHOMOLOGY 125 19. GROUP-VALUED RANDOM VARIABLES 125 20. COCYCLES 129 21. THE MACKEY ACTION AND REDUCTION COCYCLES 135 22. HOMOGENEOUS SPACES AND EFFROS THEOREM 143 23. ISOMETRIC ACTIONS 145 24. TOPOLOGY ON THE SPACE OF COCYCLES 148 25. COHOMOLOGY I: SOME GENERAL FACTS 150 26. COHOMOLOGY II: THE HYPERFINITE CASE 153 27. COHOMOLOGY III: THE NON 25O-ERGODIC CASE 158 28. THE MINIMAL CONDITION ON CENTRALIZERS 168 29. COHOMOLOGY IV: THE ^O-ERGODIC CASE 170 30. COHOMOLOGY V: ACTIONS OF PROPERTY (T) GROUPS 179 VII IMAGE 3 VIII CONTENTS APPENDIX A. REALLOCATIONS AND COMPLEXIFICATIONS 187 APPENDIX B. TENSOR PRODUCTS OF HILBERT SPACES 189 APPENDIX C. GAUSSIAN PROBABILITY SPACES 191 APPENDIX D. WIENER CHAOS DECOMPOSITION 193 APPENDIX E. EXTENDING REPRESENTATIONS TO ACTIONS 197 APPENDIX F. UNITARY REPRESENTATIONS OF ABELIAN GROUPS 199 APPENDIX G. INDUCED REPRESENTATIONS AND ACTIONS 203 APPENDIX H. THE SPACE OF UNITARY REPRESENTATIONS 207 APPENDIX I. SEMIDIRECT PRODUCTS OF GROUPS 223 BIBLIOGRAPHY 227 INDEX 233
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indexdate	2024-12-20T14:46:52Z
institution	BVB
isbn	9780821848944 0821848941
language	English
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physical	xii, 237 Seiten
publishDate	2010
publishDateSearch	2010
publishDateSort	2010
publisher	American Mathematical Society
record_format	marc
series	Mathematical surveys and monographs
series2	Mathematical surveys and monographs
spellingShingle	Kechris, Alexander S. 1946- Global aspects of ergodic group actions Mathematical surveys and monographs Automorphismengruppe (DE-588)4143708-1 gnd Ergodentheorie (DE-588)4015246-7 gnd
subject_GND	(DE-588)4143708-1 (DE-588)4015246-7
title	Global aspects of ergodic group actions
title_auth	Global aspects of ergodic group actions
title_exact_search	Global aspects of ergodic group actions
title_full	Global aspects of ergodic group actions Alexander S. Kechris
title_fullStr	Global aspects of ergodic group actions Alexander S. Kechris
title_full_unstemmed	Global aspects of ergodic group actions Alexander S. Kechris
title_short	Global aspects of ergodic group actions
title_sort	global aspects of ergodic group actions
topic	Automorphismengruppe (DE-588)4143708-1 gnd Ergodentheorie (DE-588)4015246-7 gnd
topic_facet	Automorphismengruppe Ergodentheorie
url	http://www.gbv.de/dms/tib-ub-hannover/611625717.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021130744&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000018014
work_keys_str_mv	AT kechrisalexanders globalaspectsofergodicgroupactions

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