On Cyclic Homology of A_∞ Algebras

1998/05/11 by Masoud Khalkhali, Khalkhali, Masoud
Mathematics · #19K56 #FOS: Mathematics #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #math.KT #math.QA #msc:19K56

paper · pdf · doi:10.48550/arxiv.math/9805051

16 pages

arxiv created 1998/05/11 · arxiv updated 2009/11/30

Abstract

We present an approach to cyclic homology of A_∞ algebras. Our main technical tool is the concept of X-complex due to Cuntz and Quillen. This, in particular, enables us to compute the periodic cyclic homology of an A_∞ algebra in terms of the periodic cyclic homology of its homology.

Related

• The homotopy invariance of cyclic homology of A_∞-algebras over rings
• Homology of L_∞-Algebras and Cyclic Homology
• Periodic cyclic homology of crossed products
• Periodic cyclic homology of affine Hecke algebras
• Cyclic homology with coefficients