最終更新日：2022/12/23
In this paper we show that to a unital associative algebra object (resp. co-unital co-associative co-algebra object) of any abelian monoidal category C endowed with a symmetric 2-trace one can attach a cyclic (resp. cocyclic) module, and therefore speak of the (co)cyclic homology of the (co)algebra with coefficients in the trace
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In
this
paper
we
show
that
to
a
unital
associative
algebra
object
(resp.
co-unital
co-associative
co-algebra
object)
of
any
abelian
monoidal
category
C
endowed
with
a
symmetric
2-trace
one
can
attach
a
cyclic
(resp.
cocyclic)
module,
and
therefore
speak
of
the
(co)cyclic
homology
of
the
(co)algebra
"with
coefficients
in
the
trace".
