Non-simple Purely Infinite Steinberg Algebras with Applications to Kumjian–Pask Algebras
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-020-01695-0
Abstract: We characterize properly purely infinite Steinberg algebras $$A_K({\mathcal {G}})$$ A K ( G ) for strongly effective, ample Hausdorff groupoids $${\mathcal {G}}$$ G . As an application, we show that the notions of pure infiniteness… read more here.
Keywords: steinberg algebras; infinite steinberg; kumjian pask; purely infinite ... See more keywords
Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras
Sign Up to like & getrecommendations! Published in 2018 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7460
Abstract: We consider the ideal structure of Steinberg algebras over a commutative ring with identity. We focus on Hausdorff groupoids that are strongly effective in the sense that their reductions to closed subspaces of their unit… read more here.
Keywords: steinberg algebras; path algebras; ideals steinberg; strongly effective ... See more keywords