The $K$-theory of the triple-Toeplitz deformation of the complex projective plane
Volume 98 / 2012
Banach Center Publications 98 (2012), 303-310
MSC: 46L80.
DOI: 10.4064/bc98-0-13
Abstract
$\pi^i_j: B_i\rightarrow B_{ij}=B_{ji}$, $i,j\in \{1,2,3\}$, $i\neq j$, 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 $\mathbb CP^2$.
