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• W3183498225 abstract "We consider the algebra $dotSigma(mathcal L)$ generated by the inner-limit derivations over the ${rm GICAR}$ algebra of a fermion gas populating an aperiodic Delone set $mathcal L$. Under standard physical assumptions such as finite interaction range, Galilean invariance and continuity with respect to the aperiodic lattice, we demonstrate that the image of $dot Sigma(mathcal L)$ through the Fock representation can be completed to a groupoid-solvable pro-$C^ast$-algebra. Our result is the first step towards unlocking the $K$-theoretic tools available for separable $C^ast$-algebra for applications in the context of interacting fermions." @default.
• W3183498225 created "2021-08-02" @default.
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• W3183498225 date "2022-05-21" @default.
• W3183498225 modified "2023-09-24" @default.
• W3183498225 title "A Groupoid Approach to Interacting Fermions" @default.
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• W3183498225 doi "https://doi.org/10.1007/s00220-022-04397-8" @default.
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