CUNTZ ’ S ax + b - SEMIGROUP C ∗ - ALGEBRA OVER N AND PRODUCT SYSTEM C ∗ - ALGEBRAS
نویسنده
چکیده
We investigate C∗-algebras associated with row-finite topological higherrank graphs with no source, which are based on product system C∗-algebras. We prove the Cuntz-Krieger uniqueness theorem, and provide the condition of simplicity and purely infiniteness of our algebras. We give examples of non-discrete topological higher-rank graphs whose C∗-algebras contain Cuntz’s ax + b-semigroup C∗-algebra over N.
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