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         Type:  Article
      
    
          Analytical signatures and proper actions
         Abstract: 
We compare Mishchenko's definition of non-commutative signature for an oriented manifold with an orientation preserving proper action of a discrete, countable group G with the (more analytical) counterpart defined by Higson and Roe in the series of articles "Mapping surgery to analysis". A generalization of the bordism invariance of the coarse index is also addressed.
    
   
  We compare Mishchenko's definition of non-commutative signature for an oriented manifold with an orientation preserving proper action of a discrete, countable group G with the (more analytical) counterpart defined by Higson and Roe in the series of articles "Mapping surgery to analysis". A generalization of the bordism invariance of the coarse index is also addressed.
              Keywords:  Bordism Invariance; Coarse index; Hilbert-Poincare Complexes
            
         
         Journal: Topological Methods in Nonlinear Analysis
      
    
      ISSN:  1230-3429
      
     
         Year:  2021
        
      
        Volume:  57
      
     
        Number:  1
   
   
         Pages:  1-23
      
   
         MR Number:  4303025
      
    
    
    
    
    
          
         Revision:  1
      
    
    
    
    
          
    
    
    
          
        Notas:  Web of Science: Q3 Factor de Impacto 0.853 (Polonia)
Scimago Journal Reports: Q2 Factor de Impacto Q2 0.62
      
    
 Created:  2021-04-07 15:55:33
            Created:  2021-04-07 15:55:33
       Modified: 2021-11-17 18:22:10
            Modified: 2021-11-17 18:22:10
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