Extensions and degeneration of spectral triples
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Extensions and degeneration of spectral triples. / Christensen, Erik; Ivan, Cristina.
In: Communications in Mathematical Physics, Vol. 285, No. 3, 2009, p. 925-955.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Extensions and degeneration of spectral triples
AU - Christensen, Erik
AU - Ivan, Cristina
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
U2 - 10.1007/s00220-008-0657-4
DO - 10.1007/s00220-008-0657-4
M3 - Journal article
VL - 285
SP - 925
EP - 955
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
SN - 0010-3616
IS - 3
ER -
ID: 12680579