Extensions and degeneration of spectral triples

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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 languageEnglish
JournalCommunications in Mathematical Physics
Volume285
Issue number3
Pages (from-to)925-955
Number of pages31
ISSN0010-3616
DOIs
Publication statusPublished - 2009

ID: 12680579