A KK-like picture for E-theory of C*-algebras

@inproceedings{Manuilov2017AKP,
  title={A KK-like picture for E-theory of C*-algebras},
  author={Vladimir Manuilov},
  year={2017}
}
Let $A$, $B$ be separable C*-algebras, $B$ stable. Elements of the E-theory group $E(A,B)$ are represented by asymptotic homomorphisms from the second suspension of $A$ to $B$. Our aim is to represent these elements by (families of) maps from $A$ itself to $B$. We have to pay for that by allowing these maps to be even further from $*$-homomorphisms. We prove that $E(A,B)$ can be represented by pairs $(\varphi^+,\varphi^-)$ of maps from $A$ to $B$ that are not necessarily asymptotic… CONTINUE READING

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