Extensions and degeneration of spectral triples

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Standard

Extensions and degeneration of spectral triples. / Christensen, Erik; Ivan, Cristina.

I: Communications in Mathematical Physics, Bind 285, Nr. 3, 2009, s. 925-955.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Christensen, E & Ivan, C 2009, 'Extensions and degeneration of spectral triples', Communications in Mathematical Physics, bind 285, nr. 3, s. 925-955. https://doi.org/10.1007/s00220-008-0657-4

APA

Christensen, E., & Ivan, C. (2009). Extensions and degeneration of spectral triples. Communications in Mathematical Physics, 285(3), 925-955. https://doi.org/10.1007/s00220-008-0657-4

Vancouver

Christensen E, Ivan C. Extensions and degeneration of spectral triples. Communications in Mathematical Physics. 2009;285(3):925-955. https://doi.org/10.1007/s00220-008-0657-4

Author

Christensen, Erik ; Ivan, Cristina. / Extensions and degeneration of spectral triples. I: Communications in Mathematical Physics. 2009 ; Bind 285, Nr. 3. s. 925-955.

Bibtex

@article{3bcf56205c0111dea8de000ea68e967b,
title = "Extensions and degeneration of spectral triples",
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.",
author = "Erik Christensen and Cristina Ivan",
year = "2009",
doi = "10.1007/s00220-008-0657-4",
language = "English",
volume = "285",
pages = "925--955",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer",
number = "3",

}

RIS

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