Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415025 | Journal of Functional Analysis | 2016 | 18 Pages |
Abstract
The Hecke algebra Cq[W] of a Coxeter group W, associated to parameter q, can be completed to a von Neumann algebra Nq(W). We study such algebras in case where W is right-angled. We determine the range of q for which Nq(W) is a factor, i.e. has trivial center. Moreover, in case of nontrivial center, we prove a result allowing to decompose Nq(W) into a finite direct sum of factors.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Åukasz Garncarek,