Research Papers

The primitive spectrum of the $C^*$-algebra of singular integral operators on a complex contour with discontinuous semi-almost periodic coefficients

I. V. Baibulov

Saint Petersburg State University

Abstract: The Jacobson topology on the primitive spectrum of the $C^*$-algebra generated by singular integral operators on a complex contour with semi-almost-periodic and piecewise continuous coefficients is described. The present work is a continuation of the author's previous work, where all primitive ideals of this $C^*$-algebra were listed.

Keywords: singular integral operator, semi-almost periodic coefficients, spectrum of a $C^*$-algebra, Jacobson topology, primitive ideals.

Received: 20.07.2025