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$$C^*$$-algebras generated by semigroups. (English. Russian original) Zbl 1184.46053
Russ. Math. 53, No. 10, 61-63 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 10, 68-71 (2009).
Summary: 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.

##### MSC:
 46L05 General theory of $$C^*$$-algebras 47L80 Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.)
##### Keywords:
$$C^*$$-algebra; semigroup
Full Text:
##### References:
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