S. A. Grigoryan, A. F. Salakhutdinov, “<nobr>$C^*$</nobr>-algebras generated by semigroups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, Number 10,Pages <nobr>68

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Brief communications

$C^*$-algebras generated by semigroups

S. A. Grigoryan, A. F. Salakhutdinov

Chair of Higher Mathematics, Kazan State Energy University, Kazan, Russia

Abstract: In this paper we study $C^*$-algebras generated by a commuting family of isometric operators. Such algebras naturally generalize the Toeplitz algebra. We investigate $*$-automorphisms and ideals of $C^*$-algebras generated by semigroups.

Keywords: $C^*$-algebra, semigroup.

UDC: 517.98

Received: 29.12.2008