Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness
نویسندگان
چکیده
منابع مشابه
C-crossed Products by Twisted Inverse Semigroup Actions
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.
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The recently developed theory of partial actions of discrete groups on C-algebras is extended. A related concept of actions of inverse semigroups on C-algebras is defined, including covariant representations and crossed products. The main result is that every partial crossed product is a crossed product by a semigroup action.
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ژورنال
عنوان ژورنال: Documenta Mathematica
سال: 2021
ISSN: ['1431-0635', '1431-0643']
DOI: https://doi.org/10.4171/dm/815