The Characterization of the Spectrum of a Class of Relations

Masoumeh Faghih Ahmadi, Sareh Haghkhah


Hereditary, directed subsets of a group and a semi- group and some of their properties are discussed. A class of rela- tions in terms of the range projections of a partial representation of a discrete group is introduced. It is shown that the spectrum of these relations is homeomorphic to the set of all characters of the diagonal subalgebra of the Toeplitz algebra.


hereditary subset, directed subset, spectrum, relation, quasi-lattice.

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