# The K-theory of the triple-Toeplitz deformation of the complex projective plane

Banach Center Publications (2012)

- Volume: 98, Issue: 1, page 303-310
- ISSN: 0137-6934

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topJan Rudnik. "The K-theory of the triple-Toeplitz deformation of the complex projective plane." Banach Center Publications 98.1 (2012): 303-310. <http://eudml.org/doc/281991>.

@article{JanRudnik2012,

abstract = {$π^\{i\}_\{j\}: B_\{i\} → B_\{ij\} = B_\{ji\}$, i,j ∈ 1,2,3, i ≠ j, of C*-epimorphisms assuming that it satisfies the cocycle condition. Then we show how to compute the K-groups of the multi-pullback C*-algebra of such a family, and exemplify it in the case of the triple-Toeplitz deformation of ℂP².},

author = {Jan Rudnik},

journal = {Banach Center Publications},

keywords = {Mayer-Vietoris 6-term exact sequence; iterated pullbacks; cocycle condition; distributive lattices of ideals},

language = {eng},

number = {1},

pages = {303-310},

title = {The K-theory of the triple-Toeplitz deformation of the complex projective plane},

url = {http://eudml.org/doc/281991},

volume = {98},

year = {2012},

}

TY - JOUR

AU - Jan Rudnik

TI - The K-theory of the triple-Toeplitz deformation of the complex projective plane

JO - Banach Center Publications

PY - 2012

VL - 98

IS - 1

SP - 303

EP - 310

AB - $π^{i}_{j}: B_{i} → B_{ij} = B_{ji}$, i,j ∈ 1,2,3, i ≠ j, of C*-epimorphisms assuming that it satisfies the cocycle condition. Then we show how to compute the K-groups of the multi-pullback C*-algebra of such a family, and exemplify it in the case of the triple-Toeplitz deformation of ℂP².

LA - eng

KW - Mayer-Vietoris 6-term exact sequence; iterated pullbacks; cocycle condition; distributive lattices of ideals

UR - http://eudml.org/doc/281991

ER -

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