Jacek Brodzki, Moulay-Tahar Benameur, Victor Nistor
Cyclic Homology and Pseudodifferential Operators, a Survey
Preprint series: ESI preprints

MSC:

46L55 Noncommutative dynamical systems, See also {28Dxx, 54H20,

19D55 $K$-theory and homology; cyclic homology and cohomology, See also {18G60}

58G10 Index theory and related fixed point theorems, See Also {19K56, 46L80}

35S05 General theory of $\Psi$DO

18G60 Other (co)homology theories (cyclic, dihedral, etc.), See also {19D55, 46L80, 58B30, 58G12}

58G12 Exotic index theories, See also {19K56, 46L05, 46L10, 46L80, 46M20}

Abstract: We present a brief introduction to Hochschild and cyclic homology
designed for researchers interested in pseudodifferential operators
and their applications to index theory, spectral invariants, and
asymptotics.


Keywords: Hochschild homology, cyclic homology, Chern character, index theory, pseudodifferential operators, non-commutative geometry