Status of the development of NUV SiPMs for INFN optical modules for the SCT medium sized telescope proposed for the CTA observatory

Adams, C.; Ambrosi, G.; Ambrosio, M.; Aramo, C.; Benbow, W.; Bertucci, B.; Bissaldi, E.; Bitossi, M.; Boiano, A.; Bonavolontá, C.; Bose, R.; Brill, A.; Buckley, J.H.; Caprai, M.; Covault, C.E.; Di Venere, L.; Feng, Q.; Fiandrini, E.; Gent, A.; Giglietto, N.; Giordano, F.; Halliday, R.; Hervet, O.; Hughes, G.; Humensky, T.B.; Ionica, M.; Jin, W.; Kaaret, P.; Kieda, D.; Kim, B.; Licciulli, F.; Loporchio, S.; Masone, V.; Meures, T.; Mode, B.A.W.; Mukherjeek, R.; Okumura, A.; Otte, N.; Pantaleo, F.R.; Paoletti, R.; Petrashyk, A.; Powell, J.; Powell, K.; Riberio, D.; Rouselle, J.; Rugliancich, A.; Santander, M.; Shang, R.; Stevenson, B.; Stiaccini, L.; Taylor, L.P.; Tosti, L.; Vagelli, V.; Valentino, M.; Vandenbroucke, J.; Vassiliev, V.; Wilcox, P.; Williams, D.A.

doi:10.1016/j.nima.2020.164486

Let p ∈ Z p\in {\mathbb {Z}} be an odd prime. We show that the fiber sequence for the cyclotomic trace of the sphere spectrum S {\mathbb {S}} admits an “eigensplitting” that generalizes known splittings on K K -theory and T C TC . We identify the summands in the fiber as the covers of Z p {\mathbb {Z}}_{p} -Anderson duals of summands in the K ( 1 ) K(1) -localized algebraic K K -theory of Z {\mathbb {Z}} . Analogous results hold for the ring Z {\mathbb {Z}} where we prove that the K ( 1 ) K(1) -localized fiber sequence is self-dual for Z p {\mathbb {Z}}_{p} -Anderson duality, with the duality permuting the summands by i ↦ p − i i\mapsto p-i (indexed mod p − 1 p-1 ). We explain an intrinsic characterization of the summand we call Z Z in the splitting T C ( Z ) p ∧ ≃ j ∨ Σ j ′ ∨ Z TC({\mathbb {Z}})^{\wedge }_{p}\simeq j \vee \Sigma j’\vee Z in terms of units in the p p -cyclotomic tower of Q p {\mathbb {Q}}_{p} .

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