caa a22 4500 475738209 CHVBK 20180406123452.0 cr unu---uuuuu 170329e20000401xx s 000 0 eng 10.1007/s002220000051 doi (NATIONALLICENCE)springer-10.1007/s002220000051 Finite generation of Hochschild homology algebras [Elektronische Daten] [Luchezar L. Avramov, Srikanth Iyengar] Abstract. : We prove converses of the Hochschild-Kostant-Rosenberg Theorem, in particular: If a commutative algebra S is flat and essentially of finite type over a noetherian ring $\mathbb{k}$ , and the Hochschild homology HH * (S| $\mathbb{k}$ ) is a finitely generated S-algebra for shuffle products, then S is smooth over $\mathbb{k}$ . Springer-Verlag Berlin Heidelberg, 2000 Mathematics Subject Classification (1991): 13D99, 13C40, 18G15 nationallicence Avramov Luchezar L. Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA¶(e-mail: avramov@math.purdue.edu), USA aut Iyengar Srikanth Department of Mathematics, University of Missouri, Columbia, MO 65211, USA¶(e-mail: s.iyengar@sheffield.ac.uk), USA aut Inventiones mathematicae Springer Berlin Heidelberg 140/1(2000-04-01), 143-170 0020-9910 140:1<143 2000 140 222 https://doi.org/10.1007/s002220000051 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s002220000051 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Avramov Luchezar L. Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA¶(e-mail: avramov@math.purdue.edu), USA aut NATIONALLICENCE 700 1- Iyengar Srikanth Department of Mathematics, University of Missouri, Columbia, MO 65211, USA¶(e-mail: s.iyengar@sheffield.ac.uk), USA aut NATIONALLICENCE 773 0- Inventiones mathematicae Springer Berlin Heidelberg 140/1(2000-04-01), 143-170 0020-9910 140:1<143 2000 140 222 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer