A short proof of Elliott’s theorem: \({\mathcal O}_ 2 \otimes {\mathcal O}_ 2\cong {\mathcal O}_ 2\). (English) Zbl 0817.46061
The author presents a new proof of a result of Elliott that the Cuntz \(C^*\)-algebra \({\mathcal O}_ 2\) is isomorphic to the tensor product \(C^*\)-algebra of \({\mathcal O}_ 2\) with itself. In so doing a characterization is given of all separable unital \(C^*\)-algebras \(A\) such that \(A\) is isomorphic to its tensor product with \({\mathcal O}_ 2\).
Reviewer: C.M.Edwards (Oxford)
MSC:
| 46L10 | General theory of von Neumann algebras |
| 46M05 | Tensor products in functional analysis |
| 46L05 | General theory of \(C^*\)-algebras |
