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Cyclic operads and cyclic homology
 in &quot;Geometry, Topology and Physics,&quot;International
, 1995
"... The cyclic homology of associative algebras was introduced by Connes [4] and Tsygan [22] in order to extend the classical theory of the Chern character to the noncommutative setting. Recently, there has been increased interest in more general algebraic structures than associative algebras, characte ..."
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Cited by 45 (3 self)
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The cyclic homology of associative algebras was introduced by Connes [4] and Tsygan [22] in order to extend the classical theory of the Chern character to the noncommutative setting. Recently, there has been increased interest in more general algebraic structures than associative algebras
Bialgebra cyclic homology with coefficients
 K–Theory
, 2005
"... This is the second part of the article [3]. In the first paper we developed a cyclic homology theory for ..."
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Cited by 15 (4 self)
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This is the second part of the article [3]. In the first paper we developed a cyclic homology theory for
On the Cyclic Homology of Exact Categories
 JPAA
"... The cyclic homology of an exact category was defined by R. McCarthy [26] using the methods of F. Waldhausen [36]. McCarthy's theory enjoys a number of desirable properties, the most basic being the agreement property, i.e. the fact that when applied to the category of finitely generated project ..."
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Cited by 87 (1 self)
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The cyclic homology of an exact category was defined by R. McCarthy [26] using the methods of F. Waldhausen [36]. McCarthy's theory enjoys a number of desirable properties, the most basic being the agreement property, i.e. the fact that when applied to the category of finitely generated
Excision in cyclic homology theories
 Invent. Math. 143 (2001), 249–323. MR 2002e:16014
"... In this paper we describe a new approach to excision in periodic cyclic homology. It applies also to cyclic homology theories for topological algebras and establishes excision in entire, asymptotic and local bivariant cyclic cohomology. Among other things we obtain sharp upper bounds for the dimensi ..."
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Cited by 20 (2 self)
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In this paper we describe a new approach to excision in periodic cyclic homology. It applies also to cyclic homology theories for topological algebras and establishes excision in entire, asymptotic and local bivariant cyclic cohomology. Among other things we obtain sharp upper bounds
ON CYCLIC HOMOLOGY OF A∞ALGEBRAS
"... The main result of the present paper asserts that the periodic cyclic homology HP•(A, m) of an A∞algebra (A, m) is equal to ordinary periodic cyclic homology HP•(H0(A)) of the homology of (A, m1) in degree zero. This result extends a well known result of T. Goodwillie [Go] for the periodic cyclic h ..."
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The main result of the present paper asserts that the periodic cyclic homology HP•(A, m) of an A∞algebra (A, m) is equal to ordinary periodic cyclic homology HP•(H0(A)) of the homology of (A, m1) in degree zero. This result extends a well known result of T. Goodwillie [Go] for the periodic cyclic
Cyclic Homology For Schemes
 Proc. Amer. Math. Soc
, 1996
"... Abstract. Using hypercohomology, we can extend cyclic homology from algebras to all schemes over a ring k. By ‘extend ’ we mean that the usual cyclic homology of any commutative algebra agrees with the cyclic homology of its corresponding affine scheme. The purpose of this paper is to show that ther ..."
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Cited by 33 (3 self)
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Abstract. Using hypercohomology, we can extend cyclic homology from algebras to all schemes over a ring k. By ‘extend ’ we mean that the usual cyclic homology of any commutative algebra agrees with the cyclic homology of its corresponding affine scheme. The purpose of this paper is to show
Cyclic Homology of Hopf Algebras
 KTheory
"... A cyclic cohomology theory adapted to Hopf algebras has been introduced recently by Connes and Moscovici. In this paper, we consider this object in the homological framework, in the spirit of LodayQuillen ([LQ]) and Karoubi’s work on the cyclic homology of associative algebras. In the case of group ..."
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Cited by 4 (0 self)
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A cyclic cohomology theory adapted to Hopf algebras has been introduced recently by Connes and Moscovici. In this paper, we consider this object in the homological framework, in the spirit of LodayQuillen ([LQ]) and Karoubi’s work on the cyclic homology of associative algebras. In the case
Cyclic Homology of Dedekind Domains
"... The purpose of this paper is to calculate the cyclic homology of rings of integers of global fields. We accomplish this by explicitly computing the homology of the simple complex associated to Tsygan’s double complex. To accomplish this, we first compute the cyclic homology of cyclic algebras, i.e., ..."
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Cited by 3 (1 self)
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The purpose of this paper is to calculate the cyclic homology of rings of integers of global fields. We accomplish this by explicitly computing the homology of the simple complex associated to Tsygan’s double complex. To accomplish this, we first compute the cyclic homology of cyclic algebras, i.e.,
Equivariant periodic cyclic homology
, 2004
"... Abstract. We define and study equivariant periodic cyclic homology for locally compact groups. This can be viewed as a noncommutative generalization of equivariant de Rham cohomology. Although the construction resembles the CuntzQuillen approach to ordinary cyclic homology, a completely new feature ..."
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Cited by 8 (6 self)
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Abstract. We define and study equivariant periodic cyclic homology for locally compact groups. This can be viewed as a noncommutative generalization of equivariant de Rham cohomology. Although the construction resembles the CuntzQuillen approach to ordinary cyclic homology, a completely new
Topological cyclic homology of schemes
 Preprint 1997 28 THOMAS GEISSER AND MARC LEVINE
, 2001
"... In recent years, the topological cyclic homology functor of [4] has been used to study and to calculate higher algebraic Ktheory. It is known that for finite algebras over the ring of Witt vectors of a perfect field of characteristic p, the padic Ktheory and topological cyclic homology agree in n ..."
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Cited by 19 (0 self)
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In recent years, the topological cyclic homology functor of [4] has been used to study and to calculate higher algebraic Ktheory. It is known that for finite algebras over the ring of Witt vectors of a perfect field of characteristic p, the padic Ktheory and topological cyclic homology agree
Results 1  10
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44,466