The algebraic-to-topological hermitian K-theory conjecture for Banach algebras
The algebraic-to-topological hermitian K-theory conjecture for Banach algebras
Let be a real or complex commutative Banach algebra with involution, let denote the hermitian sign, and let be the coefficient modulus. The algebraic-to-topological hermitian K-theory conjecture. The natural map
is an isomorphism for . This is the hermitian analogue of the stated algebraic-to-topological comparison theorem for ordinary -theory; the supplied text does not report a resolution.
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Primary source
A. J. Berrick, M. Karoubi and P. A. Østvær, “Periodicity of hermitian K-groups”, arXiv:1101.2056 (2011).
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