On Intermediate Subalgebras of C-simple Group Actions

Tattwamasi Amrutam

doi:10.1093/imrn/rnz291

On Intermediate Subalgebras of C-simple Group Actions

Tattwamasi Amrutam

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We show that for a large class of actions A of C-simple groups on unital C-algebras A, including any non-faithful action of a hyperbolic group with trivial amenable radical, every intermediate C-subalgebra B, C B A r, is of the form A 1 r, where A 1 is a unital -C-subalgebra of A.

Original language	English
Pages (from-to)	16191-16202
Number of pages	12
Journal	International Mathematics Research Notices
Volume	2021
Issue number	21
DOIs	https://doi.org/10.1093/imrn/rnz291
State	Published - 1 Nov 2021
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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abstract = "We show that for a large class of actions A of C-simple groups on unital C-algebras A, including any non-faithful action of a hyperbolic group with trivial amenable radical, every intermediate C-subalgebra B, C B A r, is of the form A 1 r, where A 1 is a unital -C-subalgebra of A.",

author = "Tattwamasi Amrutam",

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AB - We show that for a large class of actions A of C-simple groups on unital C-algebras A, including any non-faithful action of a hyperbolic group with trivial amenable radical, every intermediate C-subalgebra B, C B A r, is of the form A 1 r, where A 1 is a unital -C-subalgebra of A.

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M3 - Article

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JO - International Mathematics Research Notices

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IS - 21

ER -

On Intermediate Subalgebras of C-simple Group Actions

Abstract

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