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Results tagged with kk-theory
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user 86526
KK-theory is a common generalization both of K-homology and K-theory as an additive bivariant functor on separable C*-algebras.
5
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1
answer
498
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reference for KK theory
I wanted to ask you, if you have any good references (book or pdf) to learn about the KK theroy of Kasparov. I think the presentation of Blackadar is too close from the commutative theory.
I was sea …
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2
votes
1
answer
179
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Différences between KKO and KKR in Kasparov theory
In Kasparov article : The operator K functor and extensions of $C^*$algebras there is the definition of the two bifunctors $KKO : ralg^{op} \times ralg \to Ab$ and $KKR : Ralg^{op}_r \times Ralg_r \to …
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1
vote
Homotopy equivalence of Kasparov's $KK$-Theory
It is really the same thing as for ordinary homotopy. Mainly a concatenation.
I will write for a space $X$, $XB$ the algebra of continous functions from $X$ to $B$. All the other notations follow th …
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