On a generalized Connes-Hochschild-Kostant-Rosenberg theorem Export

@misc{citeulike:466570, abstract = {The central result here is an explicit computation of the Hochschild and cyclic homologies of a natural smooth subalgebra of stable continuous trace algebras having smooth manifolds X as their spectrum. More precisely, the Hochschild homology is identified with the space of differential forms on X, and the periodic cyclic homology with the twisted de Rham cohomology of X, thereby generalizing some fundamental results of Connes and Hochschild-Kostant-Rosenberg. The Connes-Chern character is also identified here with the twisted Chern character.}, archivePrefix = {arXiv}, author = {Mathai, Varghese and Stevenson, Danny}, citeulike-article-id = {466570}, citeulike-linkout-0 = {http://arxiv.org/abs/math.KT/0404329}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.KT/0404329}, day = {14}, eprint = {math.KT/0404329}, keywords = {cyclic\_cohomology, differential\_geometry, hochschild-kostant-rosenberg, ncg}, month = {Nov}, posted-at = {2006-01-17 01:39:56}, priority = {2}, title = {On a generalized Connes-Hochschild-Kostant-Rosenberg theorem}, url = {http://arxiv.org/abs/math.KT/0404329}, year = {2004} }

TY - ELEC ID - citeulike:466570 L3 - citeulike-article-id:466570 N2 - The central result here is an explicit computation of the Hochschild and cyclic homologies of a natural smooth subalgebra of stable continuous trace algebras having smooth manifolds X as their spectrum. More precisely, the Hochschild homology is identified with the space of differential forms on X, and the periodic cyclic homology with the twisted de Rham cohomology of X, thereby generalizing some fundamental results of Connes and Hochschild-Kostant-Rosenberg. The Connes-Chern character is also identified here with the twisted Chern character. TI - On a generalized Connes-Hochschild-Kostant-Rosenberg theorem KW - cyclic_cohomology KW - differential_geometry KW - hochschild-kostant-rosenberg KW - ncg AU - Mathai, Varghese AU - Stevenson, Danny PY - 2004/Nov/14/ UR - http://arxiv.org/abs/math.KT/0404329 ER -