E-theory is a special case of KK-theory
| dc.creator | Manuilov, Vladimir | |
| dc.creator | Thomsen, Klaus | |
| dc.date | 2002-09-09 | |
| dc.date.accessioned | 2026-07-07T04:50:42Z | |
| dc.date.available | 2026-07-07T04:50:42Z | |
| dc.description | Let A and B be $C^*$-algebras, A separable, and B $σ$-unital and stable. It is shown that there are natural isomorphisms $E(A,B)=KK(SA,Q(B))=[SA,Q(B)\otimes K]$, where $SA=C_0(0,1)\otimes A$, $[\cdot,\cdot]$ denotes the set of homotopy classes of *-homomorphisms, $Q(B) = M(B)/B$ is the generalized Calkin algebra and K denotes the $C^*$-algebra of compact operators. | |
| dc.description | 22 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0209088 | |
| dc.identifier | http://arxiv.org/abs/math/0209088 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64884 | |
| dc.subject | Operator Algebras | |
| dc.title | E-theory is a special case of KK-theory | |
| dc.type | text |