Abstract
An operator theoretic analog of a local Chern class is discussed for certain finitely generated operator algebras. This gives rise to an index theory for the maximal ideals of the algebra. The algebraic receiver for this index is the Grothendieck group of the algebra completed at a maximal ideal.
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This research was partially supported by grants from the National Science Foundation.
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Carey, R.W., Pincus, J.D. Principal currents. Integr equ oper theory 8, 614–640 (1985). https://doi.org/10.1007/BF01201706
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DOI: https://doi.org/10.1007/BF01201706