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math.AT2026
is not an -Thom Spectrum over the -Complete Sphere Spectrum
Mattie Ji
For any prime number , the classic Hopkins-Mahowald theorem asserts that is an -Thom spectrum over the -complete sphere spectrum. Kitchloo exten…
math.AT2026
Tensor Product -theory is Rational Algebraic -theory
Amartya Shekhar Dubey, Mattie Ji
For a commutative ring with unity, its algebraic -theory space may be obtained by group-completing the symmetric monoidal category of finitely generated free -modu…
math.AT2026
Quantum Cellular Automata: The Group, the Space, and the Spectrum
Mattie Ji, Bowen Yang
Over an arbitrary commutative ring , we develop a theory of quantum cellular automata. We then use algebraic K-theory to construct a space of quantum cellular au…