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• W2186020255 abstract "We build upon MacLane's definition of a tensor category to introduce the concept of a product system that takes values in a ten- sor groupoid G. We show that the existing notions of product systems fit into our categorical framework, as do the k-graphs of Kumjian and Pask. We then specialize to product systems over right-angled Artin semigroups; these are semigroups that interpolate between free semi- groups and free abelian semigroups. For such a semigroup we character- ize all product systems which take values in a given tensor groupoid G. In particular, we obtain necessary and sucient conditions under which a collection of k 1-graphs form the coordinate graphs of a k-graph." @default.
• W2186020255 created "2016-06-24" @default.
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• W2186020255 date "2005-01-01" @default.
• W2186020255 modified "2023-10-03" @default.
• W2186020255 title "PRODUCT SYSTEMS OVER RIGHT-ANGLED" @default.
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