Celebratio Mathematica — Baum — Complete Bibliography

Complete Bibliography

Works connected to Hanfeng Li

Filter the Bibliography List

year	title	people

			clear

P. F. Baum and P. M. Hajac: “Local proof of algebraic characterization of free actions” in Special issue on noncommutative geometry and quantum groups in honor of Marc A. Rieffel, published as SIGMA 10. Issue edited by G. Elliott, P. M. Hajac, H. Li, and J. Rosenberg. 2014. paper no. 060. MR 3226990 Zbl 1295.22010 ArXiv 1402.3024 incollection

Let \( G \) be a compact Hausdorff topological group acting on a compact Hausdorff topological space \( X \). Within the \( C^* \)-algebra \( C(X) \) of all continuous complex-valued functions on \( X \), there is the Peter–Weyl algebra \( \mathcal{P}_G(X) \) which is the (purely algebraic) direct sum of the isotypical components for the action of \( G \) on \( C(X) \). We prove that the action of \( G \) on \( X \) is free if and only if the canonical map \[ \mathcal{P}_G(X)\otimes^{}_{C(X/G)}\mathcal{P}_G(X)\to\mathcal{P}_G(X)\otimes\mathcal{O}(G) \] is bijective. Here both tensor products are purely algebraic, and \( \mathcal{O}(G) \) denotes the Hopf algebra of “polynomial” functions on \( G \).

George Arthur Elliott	Related
Jonathan Micah Rosenberg	Related
Marc A. Rieffel	Related
Piotr Mieczysław Hajac	Related
Hanfeng Li	Related