3 problems

Let $\cA=C^\infty(\mathbb{T}^2)\rtimes\mathbb{R}$, with generators $u_1,u_2$ for the torus part and $v_t$ for the crossed-product action, and let $D$ be the Dirac-type operator def…

Let $\cA=C^\infty(\mathbb{T}^2)\rtimes\mathbb{R}$, with subalgebra $C^\infty(\mathbb{T}^2)$ and generators $V_t$ for the crossed-product action. Consider the spectral triple on…

Let $\cA=C^\infty(\mathbb{T}^2)\rtimes\mathbb{R}$, and let $(\cA,L^2(\mathbb{T}^2,E),\tilde{Q})$ be the spectral triple described in the paper. Denote by $\Omega_{\tilde{Q}}(\cA)$…