2010/05/13 by Shantanu Dave, Dave, Shantanu
Mathematics · #19D55 #58J40 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.KT #msc:19D55 #msc:58J40
paper · pdf · doi:10.48550/arxiv.1005.2282
25pages
arxiv created 2010/05/13 · openalex publication_date 2010/05/13 · arxiv updated 2010/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We compute the cyclic homology for the cross-product al- gebra A(M)\rtimesΓ of the algebra of complete symbols on a compact man- ifold M with action of a finite group Γ. A spectral sequence argument shows that these groups can be identified using deRham cohomology of the fixed point manifolds S ^*M g . In the process we obtain new re- sults about the homologies of general cross-product algebras and provide explicit identification of the homologies for C∞(M)\rtimes Γ.