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-theory of -pseudo-differential algebras
Authors:Fabio Nicola
Institution:Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123 Torino, Italy
Abstract:We are concerned with the so-called ${\rm SG}$-pseudo-differential calculus. We describe the spectrum of the unital and commutative $C^\ast$-algebra given by the norm closure of the space of $0$-order pseudo-differential operators modulo compact operators; other related algebras are also considered. Finally, their $K$-theory is computed.

Keywords:$K$-theory  $C^\ast$-algebras  pseudo-differential operators
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