Equivariant Kirchberg-Phillips type absorption for the Razak-Jacelon algebra
نویسندگان
چکیده
Let A and B be simple separable nuclear monotracial C⁎-algebras, let α β strongly outer actions of a countable discrete amenable group Γ on B, respectively. In this paper, we show that α⊗idW A⊗W β⊗idW B⊗W are cocycle conjugate where W is the Razak-Jacelon algebra. Also, characterize such by using fixed point subalgebras Kirchberg's central sequence C⁎-algebras.
منابع مشابه
A new proof of the Kirchberg-Phillips theorem
Cartan subalgebras, automorphisms and the UCT problem Selçuk Barlak This talk deals with the connection between the UCT problem for separable, nuclear C*-algebras and Cartan subalgebras, that is, MASAs that admit faithful conditional expectations and whose normalizers generate the ambient C*-algebras. We present a characterization, in terms of Cartan subalgebras, of the UCT for fixed point alge...
متن کاملThe equivariant Orlik-Solomon algebra
Abstract. Given a real hyperplane arrangement A, the complement M(A) of the complexification of A admits an action of the group Z2 by complex conjugation. We define the equivariant Orlik-Solomon algebra of A to be the Z2-equivariant cohomology ring of M(A) with coefficients in the field F2. We give a combinatorial presentation of this ring, and interpret it as a deformation of the ordinary Orli...
متن کاملOn Phillips-perron Type Tests for Seasonal Unit Roots
In this paper we consider a semiparametric version of the test for seasonal unit roots suggested by Hylleberg, Engle, Granger, and Yoo (1990, Journal of Econometrics 44, 215–238)+ The asymptotic theory is based on the analysis of a simple regression problem, and the results apply to tests at any given frequency in the range ~0,p#+ Monte Carlo simulations suggest that the test may have more powe...
متن کاملA Class of C∗-algebras Generalizing Both Graph Algebras and Homeomorphism C∗-algebras Iv, Pure Infiniteness
This is the final one in the series of papers where we introduce and study the C∗-algebras associated with topological graphs. In this paper, we get a sufficient condition on topological graphs so that the associated C∗-algebras are simple and purely infinite. Using this result, we give one method to construct all Kirchberg algebras as C∗-algebras associated with topological graphs. 0. Introduc...
متن کامل-actions on Kirchberg Algebras
We classify a large class of Z-actions on the Kirchberg algebras employing the Kasparov group KK as the space of classification invariants.
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 Functional Analysis
سال: 2023
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2023.110088