CLASSIFICATION OF THE CROSSED PRODUCT C ( M ) × θ Z p FOR CERTAIN PAIRS ( M , θ )
نویسنده
چکیده
Let M be a separable compact Hausdorff space with dim M ≤ 2 and θ : M → M be a homeomorphism with prime period p (p ≥ 2). Set Mθ = {x ∈ M | θ(x) = x} 6= ∅ and M0 = M\Mθ. Suppose that M0 is dense in M and H(M0/θ,Z) ∼= 0, H(χ(M0/θ),Z) ∼= 0. Let M ′ be another separable compact Hausdorff space with dim M ′ ≤ 2 and θ′ be the self–homeomorphism of M ′ with prime period p. Suppose that M ′ 0 = M ′\M ′ θ′ is dense in M ′. Then C(M)×θ Zp ∼= C(M )×θ′ Zp iff there is a homeomorphism F from M/θ onto M ′/θ′ such that F (Mθ) = M ′ θ′ . Thus, if (M, θ) and (M ′, θ′) are orbit equivalent, then C(M)×θ Zp ∼= C(M )×θ′ Zp.
منابع مشابه
The Af Structure of Non Commutative Toroidal Z/4z Orbifolds
For any irrational θ and rational number p/q such that q|qθ−p| < 1, a projection e of trace q|qθ−p| is constructed in the the irrational rotation algebra Aθ that is invariant under the Fourier transform. (The latter is the order four automorphism U 7→ V 7→ U, where U, V are the canonical unitaries generating Aθ .) Further, the projection e is approximately central, the cut down algebra eAθe con...
متن کاملEstimating a Bounded Normal Mean Under the LINEX Loss Function
Let X be a random variable from a normal distribution with unknown mean θ and known variance σ2. In many practical situations, θ is known in advance to lie in an interval, say [−m,m], for some m > 0. As the usual estimator of θ, i.e., X under the LINEX loss function is inadmissible, finding some competitors for X becomes worthwhile. The only study in the literature considered the problem of min...
متن کاملComputing Jacobi’s θ in quasi-linear time
Jacobi’s θ function has numerous applications in mathematics and computer science; a naive algorithm allows the computation of θ(z, τ), for z, τ verifying certain conditions, with precision P in O(M(P ) √ P ) bit operations, where M(P ) denotes the number of operations needed to multiply two complex P -bit numbers. We generalize an algorithm which computes specific values of the θ function (the...
متن کاملStates on Orthomodular Posets of Decompositions
In Harding (1996; see also Harding, 1998, 1999), a method was given to construct an orthomodular poset Fact X from the direct product decompositions of a set. As this forms the basis of our study we briefly review the pertinent facts. For a set X let Eq X denote the set of equivalence relations on X, use ◦ for relational product, 1 for the least equivalence relation on X, and ∇ for the largest....
متن کامل