Cyclic Homology

Front Cover
Springer Science & Business Media, 1998 - Mathematics - 513 pages
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From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. Lie algebras and algebraic K-theory and an introduction to Connes'work and recent results on the Novikov conjecture. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology. The bibliographic comments at the end of each chapter offer good suggestions for further reading and research. The book can be strongly recommended to anybody interested in noncommutative geometry, contemporary algebraic topology and related topics." European Mathematical Society Newsletter

In this second edition the authors have added a chapter 13 on MacLane (co)homology.

  

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Contents

III
1
IV
2
V
8
VI
16
VII
23
VIII
29
IX
37
X
44
LV
255
LVI
256
LVII
259
LVIII
262
LIX
267
LX
275
LXI
277
LXII
279

XI
48
XII
51
XIII
53
XIV
61
XV
68
XVI
72
XVII
75
XVIII
83
XIX
88
XX
89
XXI
90
XXII
94
XXIII
97
XXIV
101
XXV
107
XXVI
112
XXVII
114
XXVIII
115
XXIX
116
XXX
123
XXXI
127
XXXII
133
XXXIII
139
XXXIV
149
XXXV
155
XXXVI
157
XXXVII
158
XXXVIII
167
XXXIX
175
XL
182
XLI
190
XLII
195
XLIII
199
XLIV
201
XLV
202
XLVI
211
XLVII
214
XLVIII
218
XLIX
223
L
225
LI
232
LII
239
LIII
248
LIV
254
LXIII
280
LXIV
282
LXV
285
LXVI
289
LXVII
291
LXVIII
295
LXIX
297
LXX
299
LXXI
304
LXXII
313
LXXIII
318
LXXIV
321
LXXV
324
LXXVI
338
LXXVII
339
LXXVIII
340
LXXIX
347
LXXX
359
LXXXI
369
LXXXII
373
LXXXIII
377
LXXXIV
379
LXXXV
380
LXXXVI
383
LXXXVII
388
LXXXVIII
393
LXXXIX
397
XC
399
XCI
406
XCII
415
XCIII
426
XCIV
440
XCV
441
XCVI
445
XCVII
451
XCVIII
459
XCIX
467
C
471
CI
483
CII
497
CIII
507
CIV
509
CV
511
Copyright

Common terms and phrases

Popular passages

Page 485 - EILENBERG, S., Cohomology theory of Lie groups and Lie algebras, Trans.
Page 487 - Cyclic cohomology for oneparameter smooth crossed products, Acta Math. 160 (1988), 285-305.
Page 495 - The homology of matrix Lie algebras over rings and the Hochschild homology (in Russian), Uspekhi Mat.
Page 495 - Volodin, Algebraic K-theory as an extraordinary homology theory on the category of associative rings with unity, Izv.
Page 485 - BURGHELEA, D., FIEDOROWICZ, Z., GAJDA, W., Adams operations in Hochschild and cyclic homology of the de Rham algebra and free loop spaces, Ktheory 4 (1991), 269-287.

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