Partial projective representations and partial actions
نویسندگان
چکیده
منابع مشابه
Associativity of Crossed Products by Partial Actions, Enveloping Actions and Partial Representations
Given a partial action α of a group G on an associative algebra A, we consider the crossed product A α G. Using the algebras of multipliers, we generalize a result of Exel (1997) on the associativity of A α G obtained in the context of C∗-algebras. In particular, we prove that A αG is associative, provided that A is semiprime. We also give a criterion for the existence of a global extension of ...
متن کاملExtending Partial Projective Planes
If a finite partial projective plane can be extended to a projective plane of order n, then it can be extended by a sequence of one line extensions. We describe necessary conditions for such an extension to exist, and restrictions which can be imposed on the intermediate sequence of extensions. This method can be used to attempt to construct a projective plane of non-prime-power order. 1. Parti...
متن کاملPartial actions and automata
We use the notion of a partial action of a monoid to introduce a generalization of automata, which we call “a preautomaton”. We study properties of preautomata and of languages recognized by preautomata.
متن کاملActions and Partial Actions of Inductive Constellations
Abstract. Inductive constellations are one-sided analogues of inductive categories which correspond to left restriction semigroups in a manner analogous to the correspondence between inverse semigroups and inductive groupoids. In this paper, we define the notions of the action and partial action of an inductive constellation on a set, before introducing the Szendrei expansion of an inductive co...
متن کاملPartial Actions and Power Sets
Partial actions of groups appeared independently in various areas of mathematics, in particular, in the study of operator algebras. The formal definition of this concept was given by Exel in 1998 [1]. Later in 2003, Abadie [2] introduced the notion of enveloping action and found that any partial action possesses an enveloping action. The study of partial actions on arbitrary rings was initiated...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2010
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2009.05.001