Computation of Symbols on C*-algebras of Singular Integral Operators
نویسنده
چکیده
In recent years various authors have studied C*-algebras generated by singular integral operators, Wiener-Hopf operators, Toeplitz operators, etc., and representations of these algebras. Analysis in these algebras is accomplished modulo a suitable ideal (usually the commutator and/or compact ideal). A similar procedure is used in the theory of pseudo-differential operators except that the emphasis is more on the asymptotic behavior of the operators (see [8]). We would like to discuss an adaptation of this asymptotic analysis to some C*-algebras. In what follows, H will be a Hubert space and £(H) its endomorphism algebra. Let X be a set of nets of automorphisms of £ ( # ) . If x&X, then
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