2009/04/06 by Ault, Shaun V.
#13D03 #18G10 #55N35 #Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.0904.1023
The symmetric homology of a unital associative algebra A over a commutative ground ring k, denoted HS_*(A), is defined using derived functors and the symmetric bar construction of Fiedorowicz. In this paper we show that HS_*(A) admits homology operations and a Pontryagin product structure making HS_*(A) an associative commutative graded algebra. This is done by finding an explicit E∞ structure on the standard chain groups that compute symmetric homology.