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| Jensen K. — Elements of KK-Theory |
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| Предметный указатель |
"Inner product" 2
 -cycle 106
 -cycle 121
 —unital C*-algebra 10
Bilinear pairing 80
Busby invariant 94
Canonical inclusions 189
Completely positive linear maps 100
Composition operator 150
Connection 65
Countably generated 11
Degenerate, -cycles 106
Degenerate, Busby invariant 99
Degenerate, Kasparov A-B-modules 52
Degree 25
Direct sum of, Hilbert B-modules 19
Direct sum of, Kasparov modules 47
Essential ideal 18
Extension of C*-algebras 93
External tensor product of, Hilbert B-modules 20
External tensor product of, Kasparov modules 49
Free product of C*-algebras 189
Full system of matrix units for K 30 122
Fully complemented projection 32
Functoriality of,  (A, B) 166
Functoriality of,  (A, B) 150
Functoriality of, {A, n) 129
Functoriality of, ![$[K\otimes qA, K\otimes qB]$](/math_tex/3b418427fa763c01b63b99a87956bfcb82.gif) 176
Functoriality of, KK(A, B) 48 49
Graded C*-algebra 25
Graded commutator 25
Graded Hilbert B-module 26
Graded homomorphism 25
Grading automorphism 25
Grading operator 26
Hilbert B-module 2
Homogeneous element 25
Homotopy invariant functor 193
Homotopy of, -cycles 107
Homotopy of, -cycles 121
| Homotopy of, *-homomorphisms 35
Homotopy of, Kasparov A-B modules 50
Induced grading on  27
Inner *-isomorphism 34
Internal tensor product of, Hilbert B-modules 19
Internal tensor product of, Kasparov modules 48
Isomorphism between, extensions 94
Isomorphism between, Graded Hilbert B-modules 27
Isomorphism between, Hilbert B-modules 9
Isomorphism between, Kasparov modules 50
Kasparov A-B module 47
Kasparov product 69
Kasparov technical theorem 62
Multiplier algebra 5
Odd grading 26
Operator homotopic 52
Pre-Hilbert H-module 1
Prequasi-homomorphism 164
Pullback of Kasparov modules 48
Pushout of, Hilbert B-modules 19
Pushout of, Kasparov modules 49
Quasi-unital *-homoniorphisrns 37
Relative unit 37
Semisplit extension 105 117
Split exact extension 105
Split exact functor 194
Splitting map 179
Stable C*-algebra 131
Stable functor 193
Stably equivalent 99
Strict topology 6
Strictly continuous map 6
Strictly positive element 10
Strongly homotopic 37
Symmetry 28
Tensor operator 65
Trivial grading 26
Unitarily equivalent Busby invariants 97
Unitarily equivalent extensions 97
Universal property of free product 189
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