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approximation property automorphisms avalanche principle Boson-fermion correspondence C*-algebra C*-algebras Carmichael number center problem Characteristic Cauchy problem classification Classification of simple C*-algebras composition operators contractions cycles of ideals definable sets elliptic curves fixed point Fourier transform Geodesic spheres homology homology theory ideals indefinite inner product index theory inductive limits inductive limits of sub-homogeneous C*- algebras J-Hermitian matrix K-theory Killing vector fields L-functions maximal ideal space metric invariants noncommutative tori noninterlacing numerical range prime number property SP quadratic forms rotation algebra topological invariants tracially approximate splitting interval algebras unbounded traces unicursal curve Weak Markov set Whitney problems

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05C05 11D25 11D41 11E04 11F20 11F67 11G05 11G09 11G25 11Y16 13A50 14J26 14M25 14P10 15A18 16A40 16T05 17B22 19K56 30C10 30C15 30H05 32S05 32S10 32S50 34M30 34M40 37E10 37E20 37F20 37K10 37L10 42C05 43A07 43A62 46E35 46L05 46L35 46L40 46L80 46L85 47A12 53B25 83C05 83C50

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