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arXiv · 1207.2066

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

Jan Rudnik
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Abstract

We consider a family $π^i_j\colon B_i\rightarrow B_{ij}=B_{ji}$, $i,j\in \{1,2,3\}$, $i\neq j$, 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 examplify it in the case of the triple-Toeplitz deformation of $\mathbb{C}P^2$.

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Jan Rudnik. 2012-09-15. The K-theory of the triple-Toeplitz deformation of the complex projective plane. https://arxiv.org/abs/1207.2066

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