|  -trace      70 Algebra, commutative      8
 Algebra, enveloping      9 16
 Algebra, topological      12
 Bar resolution, topological      19
 Bar resolution, unnormalized      18
 Canonical norm      51
 Canonical trace      47
 Complete tensor product      13
 Completion of a differential algebra      28
 Completion of a topological ring      12
 Cotrace      94
 de Rham algebra      28
 DG-algebra      8
 Differential algebra, universal      28
 Differential algebra, universally complete      29
 Differential algebra, universally finite      31
 Differentially closed ideal      28 56
 Enveloping algebra      9
 Enveloping algebra of a topological algebra      16
 Fundamental class      98
 Hochschild cohomology      23
 Hochschild complex      9
 Hochschild complex, inner derivation      24
 Hochschild complex, topological      16
 
 | Hochschild homology of a commutative algebra      9 Hochschild homology of a power series algebra      39
 Hochschild homology of a smooth algebra      36
 Hochschild homology of a topological algebra      16
 Hochschild homology of an algebra of restricted power series      39
 Kahler differentials      28
 Kahler differentials, pretrace      56
 Regular differential forms      98
 Regular representation      48
 Residue axiom (R4) “transitivity”      102
 Residues in Hochschild homology      84
 Residues of differential forms      88
 Residues of universally finite differential forms      88
 Shuffle product      10
 Tensor product topology      13
 Topological bar resolution      19
 Topological Hochschild cohomology      25
 Topological Hochschild complex      16
 Topological residue homomorphism      84
 Trace axioms      2
 Trace formula II      96
 Traces in complete intersections      70
 Traces in Hochschild homology      48 49
 Traces of differential forms      58 59
 Uniqueness of traces      68
 Universal extension of a differential algebra      2 37
 
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