منابع مشابه
Actions of vector groupoids
In this work we deal with actions of vector groupoid which is a new concept in the literature. After we give the definition of the action of a vector groupoid on a vector space, we obtain some results related to actions of vector groupoids. We also apply some characterizations of the category and groupoid theory to vector groupoids. As the second part of the work, we define the notion...
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Many important C∗-algebras, such as AF-algebras, Cuntz-Krieger algebras, graph algebras and foliation C∗-algebras, are the C∗-algebras of r-discrete groupoids. These C∗-algebras are often associated with inverse semigroups through the C∗-algebra of the inverse semigroup [HR90] or through a crossed product construction as in Kumjian’s localization [Kum84]. Nica [Nic94] connects groupoid C∗-algeb...
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The notions of Busby-Smith and Green type twisted actions are extended to discrete unital inverse semigroups. The connection between the two types, and the connection with twisted partial actions, are investigated. Decomposition theorems for the twisted crossed products are given. 1991 Mathematics Subject Classification. Primary 46L55.
متن کاملactions of vector groupoids
in this work we deal with actions of vector groupoid which is a new concept in the literature. after we give the definition of the action of a vector groupoid on a vector space, we obtain some results related to actions of vector groupoids. we also apply some characterizations of the category and groupoid theory to vector groupoids. as the second part of the work, we define the notion...
متن کاملProper Actions of Groupoids on C-algebras
This thesis contains some results concerning groupoid dynamical systems and crossed products. We introduce the notion of a proper groupoid dynamical system and of its generalized fixed point algebra. We show that our notion of proper groupoid dynamical system extends both the notion of proper actions of groups on topological spaces and the notion of the proper group dynamical systems introduced...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2017
ISSN: 0035-7596
DOI: 10.1216/rmj-2017-47-1-53