Spectral multiplicity and odd K-theory
classification
🧮 math.KT
keywords
eigenvaluesmultiplicityoperatorsspacebeginclassifyingdevelopedeigenspaces
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In this paper we begin a study of the space of unbounded self-adjoint Fredholm operators as a classifying space for K^{1}(X), with the goal of incorporating the information in the eigenspaces and eigenvalues of the operators. In particular, the role that the multiplicity of eigenvalues plays is developed here.
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