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We revisit the old result that biflat Banach algebras have the same cyclic cohomology as C, and obtain a quantitative variant (which is needed in separate, joint work of the author on the simplicial and cyclic cohomology of band semigroup algebras). Our approach does not rely on the Connes-Tsygan exact sequence, but is motivated strongly by its construction as found in [2] and [5].
Yemon Choi. "Splitting maps and norm bounds for the cyclic cohomology of biflat Banach algebras." Banach Center Publications 91.1 (2010): 105-121. <http://eudml.org/doc/282204>.
@article{YemonChoi2010, abstract = {We revisit the old result that biflat Banach algebras have the same cyclic cohomology as C, and obtain a quantitative variant (which is needed in separate, joint work of the author on the simplicial and cyclic cohomology of band semigroup algebras). Our approach does not rely on the Connes-Tsygan exact sequence, but is motivated strongly by its construction as found in [2] and [5].}, author = {Yemon Choi}, journal = {Banach Center Publications}, keywords = {biflat Banach algebras; cyclic cohomology; Connes-Tsygan exact sequence}, language = {eng}, number = {1}, pages = {105-121}, title = {Splitting maps and norm bounds for the cyclic cohomology of biflat Banach algebras}, url = {http://eudml.org/doc/282204}, volume = {91}, year = {2010}, }
TY - JOUR AU - Yemon Choi TI - Splitting maps and norm bounds for the cyclic cohomology of biflat Banach algebras JO - Banach Center Publications PY - 2010 VL - 91 IS - 1 SP - 105 EP - 121 AB - We revisit the old result that biflat Banach algebras have the same cyclic cohomology as C, and obtain a quantitative variant (which is needed in separate, joint work of the author on the simplicial and cyclic cohomology of band semigroup algebras). Our approach does not rely on the Connes-Tsygan exact sequence, but is motivated strongly by its construction as found in [2] and [5]. LA - eng KW - biflat Banach algebras; cyclic cohomology; Connes-Tsygan exact sequence UR - http://eudml.org/doc/282204 ER -