I. V. Baibulov, O. V. Sarafanov, “The spectrum of the <nobr>$C^*$</nobr>-algebra of singular integral operators with semi-almost periodic coefficients”, Mat. Sb., 2024, Volume 215, Number 4,Pages <nobr>30

The spectrum of the $C^*$-algebra of singular integral operators with semi-almost periodic coefficients

I. V. Baibulov, O. V. Sarafanov

St. Petersburg University, St. Petersburg, Russia

Abstract: A $C^*$-algebra generated by one-dimensional singular integral operators with semi-almost periodic coefficients is studied. The primitive spectrum of this algebra is described, that is, all of its primitive ideals are listed and the Jacobson topology is described.
Bibliography: 27 titles.

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

MSC: Primary 47G10, 47L80; Secondary 42A75

Received: 15.09.2023 and 04.12.2023

DOI: 10.4213/sm9999