Abstract
To a compact non commutative metric space associated to a C*-algebra A and an extension E of A, we construct 2-parameter family of compact non commutative metric spaces associated to E. It is shown that under certain limits along paths in the parameter space the corresponding spaces converge in the quantum Gromov-Hausdorff metric towards either the given non commutative metric space or towards a compact non commutative metric space associated to the compact operators.
| Original language | English |
|---|---|
| Journal | Communications in Mathematical Physics |
| Volume | 285 |
| Issue number | 3 |
| Pages (from-to) | 925-955 |
| Number of pages | 31 |
| ISSN | 0010-3616 |
| DOIs | |
| Publication status | Published - 2009 |