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

Jan 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 -