TY - CHAP
T1 - CQ*-algebras and noncommutative measure
AU - Triolo, Salvatore
AU - Bellomonte, Giorgia
PY - 2012
Y1 - 2012
N2 - In this paper we continue the investigations in [4], [5], [8], [13], [14], [15], and [19], of the structure of quasi *-algebras and extend the results in [1] and [2]. Here, noncommutative Tp-spaces are shown to constitute examples of a class of BanachC*-modules called CQ*-algebras. Moreover, it is shown that any (strongly) *-semisimple proper CQ*-algebra (X ,A), with A a separable C*-algebra, can be represented as a CQ*-algebra of type Tp.
AB - In this paper we continue the investigations in [4], [5], [8], [13], [14], [15], and [19], of the structure of quasi *-algebras and extend the results in [1] and [2]. Here, noncommutative Tp-spaces are shown to constitute examples of a class of BanachC*-modules called CQ*-algebras. Moreover, it is shown that any (strongly) *-semisimple proper CQ*-algebra (X ,A), with A a separable C*-algebra, can be represented as a CQ*-algebra of type Tp.
UR - http://hdl.handle.net/10447/74121
M3 - Chapter
SN - 978-88-548-6024-7
T3 - Bollettino di Matematica pura e applicata
SP - 79
EP - 90
BT - Bollettino di matematica pura e applicata - Volume V
ER -