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تسجيل مستخدم جديدOn Graded K-theory, Elliptic Operators and the Functional Calculus
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تأليف
Jody Trout
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Let $A$ be a graded C*-algebra. We characterize Kasparovs K-theory group $hat{K}_0(A)$ in terms of graded *-homomorphisms by proving a general converse to the functional calculus theorem for self-adjoint regular operators on graded Hilbert modules. An application to the index theory of elliptic differential operators on smooth closed manifolds and asymptotic morphisms is discussed.
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