Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

Streszczenie

We define a relation $\subset _\varDelta$ for dual operator algebras: $B\subset _\varDelta A$ if there exists a projection $p\in A$ such that $B$ and $pAp$ are Morita equivalent in the sense of Eleftherakis (2008). We show that $\subset _\varDelta$ is transitive, and we investigate the following question: If $A\subset _\varDelta B$ and $B\subset _\varDelta A$, are $A$ and $B$ stably isomorphic? We propose an analogous relation $\subset _\varDelta$ for dual operator spaces, and we present some properties of $\subset _\varDelta$ in this case.