Analytic K-Homology

Frontcover
Oxford University Press, 07.12.2000 - 424 Seiten
0 Rezensionen
Analytic K-homology draws together ideas from algebraic topology, functional analysis and geometry. It is a tool - a means of conveying information among these three subjects - and it has been used with specacular success to discover remarkable theorems across a wide span of mathematics. The purpose of this book is to acquaint the reader with the essential ideas of analytic K-homology and develop some of its applications. It includes a detailed introduction to the necessary functional analysis, followed by an exploration of the connections between K-homology and operator theory, coarse geometry, index theory, and assembly maps, including a detailed treatment of the Atiyah-Singer Index Theorem. Beginning with the rudiments of C* - algebra theory, the book will lead the reader to some central notions of contemporary research in geometric functional analysis. Much of the material included here has never previously appeared in book form.
  

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Inhalt

I
1
III
6
IV
8
V
12
VI
14
VII
16
VIII
17
IX
19
LXIX
188
LXX
196
LXXI
198
LXXII
199
LXXIV
204
LXXV
208
LXXVI
212
LXXVII
215

X
22
XI
27
XII
29
XIV
32
XV
34
XVI
36
XVII
38
XVIII
40
XIX
41
XX
44
XXI
49
XXII
54
XXIII
55
XXV
57
XXVI
60
XXVII
63
XXVIII
65
XXIX
68
XXX
71
XXXI
76
XXXII
79
XXXIII
83
XXXIV
85
XXXVI
90
XXXVII
92
XXXVIII
97
XXXIX
98
XL
101
XLI
103
XLII
106
XLIII
110
XLIV
113
XLV
120
XLVI
123
XLVIII
125
XLIX
130
L
133
LI
137
LII
138
LIII
139
LIV
141
LVI
145
LVII
147
LVIII
152
LIX
157
LX
160
LXI
162
LXII
165
LXIII
167
LXIV
168
LXV
170
LXVI
180
LXVII
183
LXVIII
186
LXXVIII
219
LXXIX
223
LXXX
233
LXXXI
237
LXXXII
239
LXXXIV
243
LXXXV
248
LXXXVI
252
LXXXVII
253
LXXXVIII
259
LXXXIX
264
XC
265
XCI
267
XCII
269
XCIII
271
XCIV
274
XCV
279
XCVI
284
XCVII
286
XCVIII
290
XCIX
293
C
297
CI
303
CII
305
CIII
306
CIV
311
CV
318
CVI
320
CVII
326
CVIII
329
CIX
333
CX
341
CXI
345
CXII
347
CXIV
350
CXV
352
CXVI
357
CXVII
363
CXVIII
369
CXIX
373
CXX
375
CXXI
377
CXXIII
378
CXXIV
379
CXXV
380
CXXVI
384
CXXVII
385
CXXVIII
387
CXXIX
388
CXXX
389
CXXXI
390
CXXXII
391
CXXXIII
401
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